-4a+32+8a=3a-7a

Solution for -4a+32+8a=3a-7a equation:

Simplifying
-4a + 32 + 8a = 3a + -7a

Reorder the terms:
32 + -4a + 8a = 3a + -7a

Combine like terms: -4a + 8a = 4a
32 + 4a = 3a + -7a

Combine like terms: 3a + -7a = -4a
32 + 4a = -4a

Solving
32 + 4a = -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
32 + 4a + 4a = -4a + 4a

Combine like terms: 4a + 4a = 8a
32 + 8a = -4a + 4a

Combine like terms: -4a + 4a = 0
32 + 8a = 0

Add '-32' to each side of the equation.
32 + -32 + 8a = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 8a = 0 + -32
8a = 0 + -32

Combine like terms: 0 + -32 = -32
8a = -32

Divide each side by '8'.
a = -4

Simplifying
a = -4