Basic Math Examples

$| \frac{z - 6}{7} | + 8 = 8$

Step 1

Move all terms not containing $| \frac{z - 6}{7} |$ to the right side of the equation.

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Step 1.1

Subtract $8$ from both sides of the equation.

$| \frac{z - 6}{7} | = 8 - 8$

Step 1.2

Subtract $8$ from $8$ .

$| \frac{z - 6}{7} | = 0$

Step 2

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$\frac{z - 6}{7} = \pm 0$

Step 3

Plus or minus $0$ is $0$ .

$\frac{z - 6}{7} = 0$

Step 4

Set the numerator equal to zero.

$z - 6 = 0$

Step 5

Add $6$ to both sides of the equation.

$z = 6$