Solve for a -11-5a=6(5a+4)

$- 11 - 5 a = 6 (5 a + 4)$

Step 1

Simplify $6 (5 a + 4)$ .

Rewrite.

$- 11 - 5 a = 0 + 0 + 6 (5 a + 4)$

Simplify by adding zeros.

$- 11 - 5 a = 6 (5 a + 4)$

Apply the distributive property.

$- 11 - 5 a = 6 (5 a) + 6 \cdot 4$

Multiply.

Multiply $5$ by $6$ .

$- 11 - 5 a = 30 a + 6 \cdot 4$

Multiply $6$ by $4$ .

$- 11 - 5 a = 30 a + 24$

Step 2

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

Subtract $30 a$ from both sides of the equation.

$- 11 - 5 a - 30 a = 24$

Subtract $30 a$ from $- 5 a$ .

$- 11 - 35 a = 24$

Step 3

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

Add $11$ to both sides of the equation.

$- 35 a = 24 + 11$

Add $24$ and $11$ .

$- 35 a = 35$

Step 4

Divide each term in $- 35 a = 35$ by $- 35$ and simplify.

Divide each term in $- 35 a = 35$ by $- 35$ .

$\frac{- 35 a}{- 35} = \frac{35}{- 35}$

Simplify the left side.

Cancel the common factor of $- 35$ .

Cancel the common factor.

$\frac{- 35 a}{- 35} = \frac{35}{- 35}$

Divide $a$ by $1$ .

$a = \frac{35}{- 35}$

Simplify the right side.

Divide $35$ by $- 35$ .

$a = - 1$