2(2h+1)+3(h+4)=

Solution for 2(2h+1)+3(h+4)= equation:

Simplifying
2(2h + 1) + 3(h + 4) = 0

Reorder the terms:
2(1 + 2h) + 3(h + 4) = 0
(1 * 2 + 2h * 2) + 3(h + 4) = 0
(2 + 4h) + 3(h + 4) = 0

Reorder the terms:
2 + 4h + 3(4 + h) = 0
2 + 4h + (4 * 3 + h * 3) = 0
2 + 4h + (12 + 3h) = 0

Reorder the terms:
2 + 12 + 4h + 3h = 0

Combine like terms: 2 + 12 = 14
14 + 4h + 3h = 0

Combine like terms: 4h + 3h = 7h
14 + 7h = 0

Solving
14 + 7h = 0

Solving for variable 'h'.

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

Add '-14' to each side of the equation.
14 + -14 + 7h = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 7h = 0 + -14
7h = 0 + -14

Combine like terms: 0 + -14 = -14
7h = -14

Divide each side by '7'.
h = -2

Simplifying
h = -2