Basic Math Examples

$- \frac{3}{4} c + 3 = - 24$

Step 1

Simplify each term.

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Step 1.1

Combine $c$ and $\frac{3}{4}$ .

$- \frac{c \cdot 3}{4} + 3 = - 24$

Step 1.2

Move $3$ to the left of $c$ .

$- \frac{3 c}{4} + 3 = - 24$

Step 2

Move all terms not containing $c$ to the right side of the equation.

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Step 2.1

Subtract $3$ from both sides of the equation.

$- \frac{3 c}{4} = - 24 - 3$

Step 2.2

Subtract $3$ from $- 24$ .

$- \frac{3 c}{4} = - 27$

Step 3

Multiply both sides of the equation by $- \frac{4}{3}$ .

$- \frac{4}{3} (- \frac{3 c}{4}) = - \frac{4}{3} \cdot - 27$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $- \frac{4}{3} (- \frac{3 c}{4})$ .

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Step 4.1.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} (- \frac{3 c}{4}) = - \frac{4}{3} \cdot - 27$

Step 4.1.1.1.2

Move the leading negative in $- \frac{3 c}{4}$ into the numerator.

$\frac{- 4}{3} \cdot \frac{- 3 c}{4} = - \frac{4}{3} \cdot - 27$

Step 4.1.1.1.3

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{3} \cdot \frac{- 3 c}{4} = - \frac{4}{3} \cdot - 27$

Step 4.1.1.1.4

Cancel the common factor.

$\frac{4 \cdot - 1}{3} \cdot \frac{- 3 c}{4} = - \frac{4}{3} \cdot - 27$

Step 4.1.1.1.5

Rewrite the expression.

$\frac{- 1}{3} (- 3 c) = - \frac{4}{3} \cdot - 27$

Step 4.1.1.2

Cancel the common factor of $3$ .

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Step 4.1.1.2.1

Factor $3$ out of $- 3 c$ .

$\frac{- 1}{3} (3 (- c)) = - \frac{4}{3} \cdot - 27$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{- 1}{3} (3 (- c)) = - \frac{4}{3} \cdot - 27$

Step 4.1.1.2.3

Rewrite the expression.

$- - c = - \frac{4}{3} \cdot - 27$

Step 4.1.1.3

Multiply.

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Step 4.1.1.3.1

Multiply $- 1$ by $- 1$ .

$1 c = - \frac{4}{3} \cdot - 27$

Step 4.1.1.3.2

Multiply $c$ by $1$ .

$c = - \frac{4}{3} \cdot - 27$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $- \frac{4}{3} \cdot - 27$ .

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Step 4.2.1.1

Cancel the common factor of $3$ .

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Step 4.2.1.1.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$c = \frac{- 4}{3} \cdot - 27$

Step 4.2.1.1.2

Factor $3$ out of $- 27$ .

$c = \frac{- 4}{3} \cdot (3 (- 9))$

Step 4.2.1.1.3

Cancel the common factor.

$c = \frac{- 4}{3} \cdot (3 \cdot - 9)$

Step 4.2.1.1.4

Rewrite the expression.

$c = - 4 \cdot - 9$

Step 4.2.1.2

Multiply $- 4$ by $- 9$ .

$c = 36$