Algebra Examples

$\frac{1}{4} (d - 3) = - 15$

Step 1

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} \cdot (d - 3)) = 4 \cdot - 15$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $4 (\frac{1}{4} \cdot (d - 3))$ .

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Step 2.1.1.1

Apply the distributive property.

$4 (\frac{1}{4} d + \frac{1}{4} \cdot - 3) = 4 \cdot - 15$

Step 2.1.1.2

Combine $\frac{1}{4}$ and $d$ .

$4 (\frac{d}{4} + \frac{1}{4} \cdot - 3) = 4 \cdot - 15$

Step 2.1.1.3

Combine $\frac{1}{4}$ and $- 3$ .

$4 (\frac{d}{4} + \frac{- 3}{4}) = 4 \cdot - 15$

Step 2.1.1.4

Move the negative in front of the fraction.

$4 (\frac{d}{4} - \frac{3}{4}) = 4 \cdot - 15$

Step 2.1.1.5

Apply the distributive property.

$4 \frac{d}{4} + 4 (- \frac{3}{4}) = 4 \cdot - 15$

Step 2.1.1.6

Cancel the common factor of $4$ .

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Step 2.1.1.6.1

Cancel the common factor.

$4 \frac{d}{4} + 4 (- \frac{3}{4}) = 4 \cdot - 15$

Step 2.1.1.6.2

Rewrite the expression.

$d + 4 (- \frac{3}{4}) = 4 \cdot - 15$

Step 2.1.1.7

Cancel the common factor of $4$ .

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Step 2.1.1.7.1

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

$d + 4 (\frac{- 3}{4}) = 4 \cdot - 15$

Step 2.1.1.7.2

Cancel the common factor.

$d + 4 (\frac{- 3}{4}) = 4 \cdot - 15$

Step 2.1.1.7.3

Rewrite the expression.

$d - 3 = 4 \cdot - 15$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $4$ by $- 15$ .

$d - 3 = - 60$

Step 3

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

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Step 3.1

Add $3$ to both sides of the equation.

$d = - 60 + 3$

Step 3.2

Add $- 60$ and $3$ .

$d = - 57$