Pre-Algebra Examples

$\frac{x - y + z}{7} = w$

Step 1

Multiply both sides by $7$ .

$\frac{x - y + z}{7} \cdot 7 = w \cdot 7$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $7$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{x - y + z}{7} \cdot 7 = w \cdot 7$

Step 2.1.1.2

Rewrite the expression.

$x - y + z = w \cdot 7$

Step 2.2

Simplify the right side.

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Step 2.2.1

Move $7$ to the left of $w$ .

$x - y + z = 7 w$

Step 3

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

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Step 3.1

Subtract $x$ from both sides of the equation.

$- y + z = 7 w - x$

Step 3.2

Add $y$ to both sides of the equation.

$z = 7 w - x + y$