Pre-Algebra Examples

$\frac{c}{6} - 7 = 1$

Step 1

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

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Step 1.1

Add $7$ to both sides of the equation.

$\frac{c}{6} = 1 + 7$

Step 1.2

Add $1$ and $7$ .

$\frac{c}{6} = 8$

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{c}{6} = 6 \cdot 8$

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.

$6 \frac{c}{6} = 6 \cdot 8$

Step 3.1.1.2

Rewrite the expression.

$c = 6 \cdot 8$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $6$ by $8$ .

$c = 48$