4a+3(a+1)=24

Solution for 4a+3(a+1)=24 equation:

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