Answer
a=6
Work Step by Step
Reorder the terms:
5a + -1(4 + 3a) = 8
5a + (4 * -1 + 3a * -1) = 8
5a + (-4 + -3a) = 8
Reorder the terms:
-4 + 5a + -3a = 8
Combine like terms: 5a + -3a = 2a
-4 + 2a = 8
Solving
-4 + 2a = 8
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2a = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 2a = 8 + 4
2a = 8 + 4
Combine like terms: 8 + 4 = 12
2a = 12
Divide each side by '2'.
a = 6
Simplifying
a = 6