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

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

Simplifying
4(3a + 8) + 7a = -1a + 32

Reorder the terms:
4(8 + 3a) + 7a = -1a + 32
(8 * 4 + 3a * 4) + 7a = -1a + 32
(32 + 12a) + 7a = -1a + 32

Combine like terms: 12a + 7a = 19a
32 + 19a = -1a + 32

Reorder the terms:
32 + 19a = 32 + -1a

Add '-32' to each side of the equation.
32 + -32 + 19a = 32 + -32 + -1a

Combine like terms: 32 + -32 = 0
0 + 19a = 32 + -32 + -1a
19a = 32 + -32 + -1a

Combine like terms: 32 + -32 = 0
19a = 0 + -1a
19a = -1a

Solving
19a = -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.
19a + a = -1a + a

Combine like terms: 19a + a = 20a
20a = -1a + a

Combine like terms: -1a + a = 0
20a = 0

Divide each side by '20'.
a = 0.0

Simplifying
a = 0.0