Pre-Algebra Examples

$2 = 10 + \frac{z}{- 3}$

Step 1

Rewrite the equation as $10 + \frac{z}{- 3} = 2$ .

$10 + \frac{z}{- 3} = 2$

Step 2

Move the negative in front of the fraction.

$10 - \frac{z}{3} = 2$

Step 3

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

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Step 3.1

Subtract $10$ from both sides of the equation.

$- \frac{z}{3} = 2 - 10$

Step 3.2

Subtract $10$ from $2$ .

$- \frac{z}{3} = - 8$

Step 4

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{z}{3}) = - 3 \cdot - 8$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $- 3 (- \frac{z}{3})$ .

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Step 5.1.1.1

Cancel the common factor of $3$ .

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Step 5.1.1.1.1

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

$- 3 \frac{- z}{3} = - 3 \cdot - 8$

Step 5.1.1.1.2

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- z}{3} = - 3 \cdot - 8$

Step 5.1.1.1.3

Cancel the common factor.

$3 \cdot - 1 \frac{- z}{3} = - 3 \cdot - 8$

Step 5.1.1.1.4

Rewrite the expression.

$- - z = - 3 \cdot - 8$

Step 5.1.1.2

Multiply.

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Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 z = - 3 \cdot - 8$

Step 5.1.1.2.2

Multiply $z$ by $1$ .

$z = - 3 \cdot - 8$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $- 3$ by $- 8$ .

$z = 24$