Solve for c -9(c+7)=-13c+7

$- 9 (c + 7) = - 13 c + 7$

Simplify $- 9 (c + 7)$ .

Rewrite.

$0 + 0 - 9 (c + 7) = - 13 c + 7$

Simplify by adding zeros.

$- 9 (c + 7) = - 13 c + 7$

Apply the distributive property.

$- 9 c - 9 \cdot 7 = - 13 c + 7$

Multiply $- 9$ by $7$ .

$- 9 c - 63 = - 13 c + 7$

Move all terms containing $c$ to the left side of the equation.

Add $13 c$ to both sides of the equation.

$- 9 c - 63 + 13 c = 7$

Add $- 9 c$ and $13 c$ .

$4 c - 63 = 7$

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

Add $63$ to both sides of the equation.

$4 c = 7 + 63$

Add $7$ and $63$ .

$4 c = 70$

Divide each term in $4 c = 70$ by $4$ and simplify.

Divide each term in $4 c = 70$ by $4$ .

$\frac{4 c}{4} = \frac{70}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 c}{4} = \frac{70}{4}$

Divide $c$ by $1$ .

$c = \frac{70}{4}$

Simplify the right side.

Cancel the common factor of $70$ and $4$ .

Factor $2$ out of $70$ .

$c = \frac{2 (35)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$c = \frac{2 \cdot 35}{2 \cdot 2}$

Cancel the common factor.

$c = \frac{2 \cdot 35}{2 \cdot 2}$

Rewrite the expression.

$c = \frac{35}{2}$

The result can be shown in multiple forms.

Exact Form:

$c = \frac{35}{2}$

Decimal Form:

$c = 17.5$

Mixed Number Form:

$c = 17 \frac{1}{2}$

Solve for c -9(c+7)=-13c+7

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