6(h-2)+8(4h+1)=72

Solution for 6(h-2)+8(4h+1)=72 equation:

Simplifying
6(h + -2) + 8(4h + 1) = 72

Reorder the terms:
6(-2 + h) + 8(4h + 1) = 72
(-2 * 6 + h * 6) + 8(4h + 1) = 72
(-12 + 6h) + 8(4h + 1) = 72

Reorder the terms:
-12 + 6h + 8(1 + 4h) = 72
-12 + 6h + (1 * 8 + 4h * 8) = 72
-12 + 6h + (8 + 32h) = 72

Reorder the terms:
-12 + 8 + 6h + 32h = 72

Combine like terms: -12 + 8 = -4
-4 + 6h + 32h = 72

Combine like terms: 6h + 32h = 38h
-4 + 38h = 72

Solving
-4 + 38h = 72

Solving for variable 'h'.

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

Add '4' to each side of the equation.
-4 + 4 + 38h = 72 + 4

Combine like terms: -4 + 4 = 0
0 + 38h = 72 + 4
38h = 72 + 4

Combine like terms: 72 + 4 = 76
38h = 76

Divide each side by '38'.
h = 2

Simplifying
h = 2