(2.5-8)(3h+6)=[(2h+h)+6]2

Solution for (2.5-8)(3h+6)=[(2h+h)+6]2 equation:

Simplifying
(2.5 + -8)(3h + 6) = [(2h + h) + 6] * 2

Combine like terms: 2.5 + -8 = -5.5
(-5.5)(3h + 6) = [(2h + h) + 6] * 2

Reorder the terms:
-5.5(6 + 3h) = [(2h + h) + 6] * 2
(6 * -5.5 + 3h * -5.5) = [(2h + h) + 6] * 2
(-33 + -16.5h) = [(2h + h) + 6] * 2

Combine like terms: 2h + h = 3h
-33 + -16.5h = [(3h) + 6] * 2
-33 + -16.5h = [(3h) + 6] * 2

Reorder the terms:
-33 + -16.5h = [6 + (3h)] * 2

Reorder the terms for easier multiplication:
-33 + -16.5h = 2[6 + (3h)]
-33 + -16.5h = [6 * 2 + (3h) * 2]
-33 + -16.5h = [12 + 6h]

Solving
-33 + -16.5h = 12 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
-33 + -16.5h + -6h = 12 + 6h + -6h

Combine like terms: -16.5h + -6h = -22.5h
-33 + -22.5h = 12 + 6h + -6h

Combine like terms: 6h + -6h = 0
-33 + -22.5h = 12 + 0
-33 + -22.5h = 12

Add '33' to each side of the equation.
-33 + 33 + -22.5h = 12 + 33

Combine like terms: -33 + 33 = 0
0 + -22.5h = 12 + 33
-22.5h = 12 + 33

Combine like terms: 12 + 33 = 45
-22.5h = 45

Divide each side by '-22.5'.
h = -2

Simplifying
h = -2