Solve for a 3(-9a-21)+11=8(a-1)-9

$3 (- 9 a - 21) + 11 = 8 (a - 1) - 9$

Step 1

Simplify $3 (- 9 a - 21) + 11$ .

Simplify each term.

Apply the distributive property.

$3 (- 9 a) + 3 \cdot - 21 + 11 = 8 (a - 1) - 9$

Multiply $- 9$ by $3$ .

$- 27 a + 3 \cdot - 21 + 11 = 8 (a - 1) - 9$

Multiply $3$ by $- 21$ .

$- 27 a - 63 + 11 = 8 (a - 1) - 9$

Add $- 63$ and $11$ .

$- 27 a - 52 = 8 (a - 1) - 9$

Step 2

Simplify $8 (a - 1) - 9$ .

Simplify each term.

Apply the distributive property.

$- 27 a - 52 = 8 a + 8 \cdot - 1 - 9$

Multiply $8$ by $- 1$ .

$- 27 a - 52 = 8 a - 8 - 9$

Subtract $9$ from $- 8$ .

$- 27 a - 52 = 8 a - 17$

Step 3

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

Subtract $8 a$ from both sides of the equation.

$- 27 a - 52 - 8 a = - 17$

Subtract $8 a$ from $- 27 a$ .

$- 35 a - 52 = - 17$

Step 4

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

Add $52$ to both sides of the equation.

$- 35 a = - 17 + 52$

Add $- 17$ and $52$ .

$- 35 a = 35$

Step 5

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 $- 35$ .

$a = - 1$

Solve for a 3(-9a-21)+11=8(a-1)-9

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