3(a+2)+1a=15-(1a+24)

Solution for 3(a+2)+1a=15-(1a+24) equation:

Simplifying
3(a + 2) + 1a = 15 + -1(1a + 24)

Reorder the terms:
3(2 + a) + 1a = 15 + -1(1a + 24)
(2 * 3 + a * 3) + 1a = 15 + -1(1a + 24)
(6 + 3a) + 1a = 15 + -1(1a + 24)

Combine like terms: 3a + 1a = 4a
6 + 4a = 15 + -1(1a + 24)

Reorder the terms:
6 + 4a = 15 + -1(24 + 1a)
6 + 4a = 15 + (24 * -1 + 1a * -1)
6 + 4a = 15 + (-24 + -1a)

Combine like terms: 15 + -24 = -9
6 + 4a = -9 + -1a

Solving
6 + 4a = -9 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + 4a + a = -9 + -1a + a

Combine like terms: 4a + a = 5a
6 + 5a = -9 + -1a + a

Combine like terms: -1a + a = 0
6 + 5a = -9 + 0
6 + 5a = -9

Add '-6' to each side of the equation.
6 + -6 + 5a = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = -9 + -6
5a = -9 + -6

Combine like terms: -9 + -6 = -15
5a = -15

Divide each side by '5'.
a = -3

Simplifying
a = -3