6(h+24)=-2h

Solution for 6(h+24)=-2h equation:

Simplifying
6(h + 24) = -2h

Reorder the terms:
6(24 + h) = -2h
(24 * 6 + h * 6) = -2h
(144 + 6h) = -2h

Solving
144 + 6h = -2h

Solving for variable 'h'.

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

Add '2h' to each side of the equation.
144 + 6h + 2h = -2h + 2h

Combine like terms: 6h + 2h = 8h
144 + 8h = -2h + 2h

Combine like terms: -2h + 2h = 0
144 + 8h = 0

Add '-144' to each side of the equation.
144 + -144 + 8h = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 8h = 0 + -144
8h = 0 + -144

Combine like terms: 0 + -144 = -144
8h = -144

Divide each side by '8'.
h = -18

Simplifying
h = -18