8) (3a + 3) (3a - 2)

+6)

A = 12 + - 1a

Step-by-step explanation:

Simplifying

A + - 1 (8 + - 3a) = 2 (a + 3) + - 2

A + (8 * - 1 + - 3a * - 1) = 2 (a + 3) + - 2

A + (-8 + 3a) = 2 (a + 3) + - 2

Reorder the terms:

-8 + A + 3a = 2 (a + 3) + - 2

Reorder the terms:

-8 + A + 3a = 2 (3 + a) + - 2

-8 + A + 3a = (3 * 2 + a * 2) + - 2

-8 + A + 3a = (6 + 2a) + - 2

Reorder the terms:

-8 + A + 3a = 6 + - 2 + 2a

Combine like terms: 6 + - 2 = 4

-8 + A + 3a = 4 + 2a

Solving

-8 + A + 3a = 4 + 2a

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + A + 8 + 3a = 4 + 8 + 2a

Reorder the terms:

-8 + 8 + A + 3a = 4 + 8 + 2a

Combine like terms: - 8 + 8 = 0

0 + A + 3a = 4 + 8 + 2a

A + 3a = 4 + 8 + 2a

Combine like terms: 4 + 8 = 12

A + 3a = 12 + 2a

Add '-3a' to each side of the equation.

A + 3a + - 3a = 12 + 2a + - 3a

Combine like terms: 3a + - 3a = 0

A + 0 = 12 + 2a + - 3a

A = 12 + 2a + - 3a

Combine like terms: 2a + - 3a = - 1a

A = 12 + - 1a

Simplifying

A = 12 + - 1a