Basic Math Examples

$- 8 = \frac{z}{7} + 2$

Step 1

Rewrite the equation as $\frac{z}{7} + 2 = - 8$ .

$\frac{z}{7} + 2 = - 8$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the equation.

$\frac{z}{7} = - 8 - 2$

Step 2.2

Subtract $2$ from $- 8$ .

$\frac{z}{7} = - 10$

Step 3

Multiply both sides of the equation by $7$ .

$7 \frac{z}{7} = 7 \cdot - 10$

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

Cancel the common factor of $7$ .

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Step 4.1.1.1

Cancel the common factor.

$7 \frac{z}{7} = 7 \cdot - 10$

Step 4.1.1.2

Rewrite the expression.

$z = 7 \cdot - 10$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $7$ by $- 10$ .

$z = - 70$