31.5=.5h(10+11)

Solution for 31.5=.5h(10+11) equation:

Simplifying
31.5 = 0.5h(10 + 11)

Combine like terms: 10 + 11 = 21
31.5 = 0.5h(21)

Reorder the terms for easier multiplication:
31.5 = 0.5 * 21h

Multiply 0.5 * 21
31.5 = 10.5h

Solving
31.5 = 10.5h

Solving for variable 'h'.

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

Add '-10.5h' to each side of the equation.
31.5 + -10.5h = 10.5h + -10.5h

Combine like terms: 10.5h + -10.5h = 0.0
31.5 + -10.5h = 0.0

Add '-31.5' to each side of the equation.
31.5 + -31.5 + -10.5h = 0.0 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + -10.5h = 0.0 + -31.5
-10.5h = 0.0 + -31.5

Combine like terms: 0.0 + -31.5 = -31.5
-10.5h = -31.5

Divide each side by '-10.5'.
h = 3

Simplifying
h = 3