54=9h+3(h+2)

Solution for 54=9h+3(h+2) equation:

Simplifying
54 = 9h + 3(h + 2)

Reorder the terms:
54 = 9h + 3(2 + h)
54 = 9h + (2 * 3 + h * 3)
54 = 9h + (6 + 3h)

Reorder the terms:
54 = 6 + 9h + 3h

Combine like terms: 9h + 3h = 12h
54 = 6 + 12h

Solving
54 = 6 + 12h

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
54 + -12h = 6 + 12h + -12h

Combine like terms: 12h + -12h = 0
54 + -12h = 6 + 0
54 + -12h = 6

Add '-54' to each side of the equation.
54 + -54 + -12h = 6 + -54

Combine like terms: 54 + -54 = 0
0 + -12h = 6 + -54
-12h = 6 + -54

Combine like terms: 6 + -54 = -48
-12h = -48

Divide each side by '-12'.
h = 4

Simplifying
h = 4