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 = -1
31.5 = 0.5h(-1)

Reorder the terms for easier multiplication:
31.5 = 0.5 * -1h

Multiply 0.5 * -1
31.5 = -0.5h

Solving
31.5 = -0.5h

Solving for variable 'h'.

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

Add '0.5h' to each side of the equation.
31.5 + 0.5h = -0.5h + 0.5h

Combine like terms: -0.5h + 0.5h = 0.0
31.5 + 0.5h = 0.0

Add '-31.5' to each side of the equation.
31.5 + -31.5 + 0.5h = 0.0 + -31.5

Combine like terms: 31.5 + -31.5 = 0.0
0.0 + 0.5h = 0.0 + -31.5
0.5h = 0.0 + -31.5

Combine like terms: 0.0 + -31.5 = -31.5
0.5h = -31.5

Divide each side by '0.5'.
h = -63

Simplifying
h = -63