Answer:
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
