Solve for a 6(2-a)+3(-5a-4)=-4a+5a

$6 (2 - a) + 3 (- 5 a - 4) = - 4 a + 5 a$

Simplify $6 (2 - a) + 3 (- 5 a - 4)$ .

Simplify each term.

Apply the distributive property.

$6 \cdot 2 + 6 (- a) + 3 (- 5 a - 4) = - 4 a + 5 a$

Multiply $6$ by $2$ .

$12 + 6 (- a) + 3 (- 5 a - 4) = - 4 a + 5 a$

Multiply $- 1$ by $6$ .

$12 - 6 a + 3 (- 5 a - 4) = - 4 a + 5 a$

Apply the distributive property.

$12 - 6 a + 3 (- 5 a) + 3 \cdot - 4 = - 4 a + 5 a$

Multiply $- 5$ by $3$ .

$12 - 6 a - 15 a + 3 \cdot - 4 = - 4 a + 5 a$

Multiply $3$ by $- 4$ .

$12 - 6 a - 15 a - 12 = - 4 a + 5 a$

Simplify by adding terms.

Combine the opposite terms in $12 - 6 a - 15 a - 12$ .

Subtract $12$ from $12$ .

$- 6 a - 15 a + 0 = - 4 a + 5 a$

Add $- 6 a - 15 a$ and $0$ .

$- 6 a - 15 a = - 4 a + 5 a$

Subtract $15 a$ from $- 6 a$ .

$- 21 a = - 4 a + 5 a$

Add $- 4 a$ and $5 a$ .

$- 21 a = a$

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

Subtract $a$ from both sides of the equation.

$- 21 a - a = 0$

Subtract $a$ from $- 21 a$ .

$- 22 a = 0$

Divide each term in $- 22 a = 0$ by $- 22$ and simplify.

Divide each term in $- 22 a = 0$ by $- 22$ .

$\frac{- 22 a}{- 22} = \frac{0}{- 22}$

Simplify the left side.

Cancel the common factor of $- 22$ .

Cancel the common factor.

$\frac{- 22 a}{- 22} = \frac{0}{- 22}$

Divide $a$ by $1$ .

$a = \frac{0}{- 22}$

Simplify the right side.

Divide $0$ by $- 22$ .

$a = 0$