Basic Math Examples

$- 17 = \frac{3}{4} \cdot (8) + z$

Step 1

Rewrite the equation as $\frac{3}{4} \cdot 8 + z = - 17$ .

$\frac{3}{4} \cdot 8 + z = - 17$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Factor $4$ out of $8$ .

$\frac{3}{4} \cdot (4 (2)) + z = - 17$

Step 2.1.2

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 2) + z = - 17$

Step 2.1.3

Rewrite the expression.

$3 \cdot 2 + z = - 17$

Step 2.2

Multiply $3$ by $2$ .

$6 + z = - 17$

Step 3

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

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Step 3.1

Subtract $6$ from both sides of the equation.

$z = - 17 - 6$

Step 3.2

Subtract $6$ from $- 17$ .

$z = - 23$