Algebra Examples

$- \frac{2}{3} (12 c - 9) + 14 c$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$- \frac{2}{3} (12 c) - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.2.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{- 2}{3} (12 c) - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.2.2

Factor $3$ out of $12 c$ .

$\frac{- 2}{3} (3 (4 c)) - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.2.3

Cancel the common factor.

$\frac{- 2}{3} (3 (4 c)) - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.2.4

Rewrite the expression.

$- 2 (4 c) - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.3

Multiply $4$ by $- 2$ .

$- 8 c - \frac{2}{3} \cdot - 9 + 14 c$

Step 1.4

Cancel the common factor of $3$ .

Tap for more steps...

Step 1.4.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$- 8 c + \frac{- 2}{3} \cdot - 9 + 14 c$

Step 1.4.2

Factor $3$ out of $- 9$ .

$- 8 c + \frac{- 2}{3} \cdot (3 (- 3)) + 14 c$

Step 1.4.3

Cancel the common factor.

$- 8 c + \frac{- 2}{3} \cdot (3 \cdot - 3) + 14 c$

Step 1.4.4

Rewrite the expression.

$- 8 c - 2 \cdot - 3 + 14 c$

Step 1.5

Multiply $- 2$ by $- 3$ .

$- 8 c + 6 + 14 c$

Step 2

Add $- 8 c$ and $14 c$ .

$6 c + 6$