Answer: Simplifying
4a + 3(a + 1) = 24
Reorder the terms:
4a + 3(1 + a) = 24
4a + (1 * 3 + a * 3) = 24
4a + (3 + 3a) = 24
Reorder the terms:
3 + 4a + 3a = 24
Combine like terms: 4a + 3a = 7a
3 + 7a = 24
Solving
3 + 7a = 24
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 7a = 24 + -3
Combine like terms: 3 + -3 = 0
0 + 7a = 24 + -3
7a = 24 + -3
Combine like terms: 24 + -3 = 21
7a = 21
Divide each side by '7'.
a = 3
Simplifying
a = 3