-7+(4a+1)-8a=-5a+24

Solution for -7+(4a+1)-8a=-5a+24 equation:

Simplifying
-7 + (4a + 1) + -8a = -5a + 24

Reorder the terms:
-7 + (1 + 4a) + -8a = -5a + 24

Remove parenthesis around (1 + 4a)
-7 + 1 + 4a + -8a = -5a + 24

Combine like terms: -7 + 1 = -6
-6 + 4a + -8a = -5a + 24

Combine like terms: 4a + -8a = -4a
-6 + -4a = -5a + 24

Reorder the terms:
-6 + -4a = 24 + -5a

Solving
-6 + -4a = 24 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
-6 + -4a + 5a = 24 + -5a + 5a

Combine like terms: -4a + 5a = 1a
-6 + 1a = 24 + -5a + 5a

Combine like terms: -5a + 5a = 0
-6 + 1a = 24 + 0
-6 + 1a = 24

Add '6' to each side of the equation.
-6 + 6 + 1a = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 24 + 6
1a = 24 + 6

Combine like terms: 24 + 6 = 30
1a = 30

Divide each side by '1'.
a = 30

Simplifying
a = 30