Pre-Algebra Examples

$12 + \frac{b}{6} = 16$

Step 1

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

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Step 1.1

Subtract $12$ from both sides of the equation.

$\frac{b}{6} = 16 - 12$

Step 1.2

Subtract $12$ from $16$ .

$\frac{b}{6} = 4$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{b}{6} = 6 \cdot 4$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1

Cancel the common factor.

$6 \frac{b}{6} = 6 \cdot 4$

Step 3.1.1.2

Rewrite the expression.

$b = 6 \cdot 4$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $6$ by $4$ .

$b = 24$