(12)(5)-8(43h+6)=[(2h+h)+6]2

Solution for (12)(5)-8(43h+6)=[(2h+h)+6]2 equation:

Simplifying
(12)(5) + -8(43h + 6) = [(2h + h) + 6] * 2

Multiply 12 * 5
60 + -8(43h + 6) = [(2h + h) + 6] * 2

Reorder the terms:
60 + -8(6 + 43h) = [(2h + h) + 6] * 2
60 + (6 * -8 + 43h * -8) = [(2h + h) + 6] * 2
60 + (-48 + -344h) = [(2h + h) + 6] * 2

Combine like terms: 60 + -48 = 12
12 + -344h = [(2h + h) + 6] * 2

Combine like terms: 2h + h = 3h
12 + -344h = [(3h) + 6] * 2
12 + -344h = [(3h) + 6] * 2

Reorder the terms:
12 + -344h = [6 + (3h)] * 2

Reorder the terms for easier multiplication:
12 + -344h = 2[6 + (3h)]
12 + -344h = [6 * 2 + (3h) * 2]
12 + -344h = [12 + 6h]

Add '-12' to each side of the equation.
12 + -12 + -344h = 12 + -12 + 6h

Combine like terms: 12 + -12 = 0
0 + -344h = 12 + -12 + 6h
-344h = 12 + -12 + 6h

Combine like terms: 12 + -12 = 0
-344h = 0 + 6h
-344h = 6h

Solving
-344h = 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.
-344h + -6h = 6h + -6h

Combine like terms: -344h + -6h = -350h
-350h = 6h + -6h

Combine like terms: 6h + -6h = 0
-350h = 0

Divide each side by '-350'.
h = 0.0

Simplifying
h = 0.0