3(4h-5)+4(2h+6)=

Solution for 3(4h-5)+4(2h+6)= equation:

Simplifying
3(4h + -5) + 4(2h + 6) = 0

Reorder the terms:
3(-5 + 4h) + 4(2h + 6) = 0
(-5 * 3 + 4h * 3) + 4(2h + 6) = 0
(-15 + 12h) + 4(2h + 6) = 0

Reorder the terms:
-15 + 12h + 4(6 + 2h) = 0
-15 + 12h + (6 * 4 + 2h * 4) = 0
-15 + 12h + (24 + 8h) = 0

Reorder the terms:
-15 + 24 + 12h + 8h = 0

Combine like terms: -15 + 24 = 9
9 + 12h + 8h = 0

Combine like terms: 12h + 8h = 20h
9 + 20h = 0

Solving
9 + 20h = 0

Solving for variable 'h'.

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

Add '-9' to each side of the equation.
9 + -9 + 20h = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 20h = 0 + -9
20h = 0 + -9

Combine like terms: 0 + -9 = -9
20h = -9

Divide each side by '20'.
h = -0.45

Simplifying
h = -0.45