-2a+6(a+2)=32

Solution for -2a+6(a+2)=32 equation:

Simplifying
-2a + 6(a + 2) = 32

Reorder the terms:
-2a + 6(2 + a) = 32
-2a + (2 * 6 + a * 6) = 32
-2a + (12 + 6a) = 32

Reorder the terms:
12 + -2a + 6a = 32

Combine like terms: -2a + 6a = 4a
12 + 4a = 32

Solving
12 + 4a = 32

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 4a = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 4a = 32 + -12
4a = 32 + -12

Combine like terms: 32 + -12 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5