Algebra Examples

$26 = 21 + \frac{1}{7} Z$

Step 1

Rewrite the equation as $21 + \frac{1}{7} Z = 26$ .

$21 + \frac{1}{7} Z = 26$

Step 2

Combine $\frac{1}{7}$ and $Z$ .

$21 + \frac{Z}{7} = 26$

Step 3

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

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Step 3.1

Subtract $21$ from both sides of the equation.

$\frac{Z}{7} = 26 - 21$

Step 3.2

Subtract $21$ from $26$ .

$\frac{Z}{7} = 5$

Step 4

Multiply both sides of the equation by $7$ .

$7 \frac{Z}{7} = 7 \cdot 5$

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

Cancel the common factor of $7$ .

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Step 5.1.1.1

Cancel the common factor.

$7 \frac{Z}{7} = 7 \cdot 5$

Step 5.1.1.2

Rewrite the expression.

$Z = 7 \cdot 5$

Step 5.2

Simplify the right side.

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Step 5.2.1

Multiply $7$ by $5$ .

$Z = 35$