42=.5h(2+5)

Solution for 42=.5h(2+5) equation:

Simplifying
42 = 0.5h(2 + 5)

Combine like terms: 2 + 5 = 7
42 = 0.5h(7)

Reorder the terms for easier multiplication:
42 = 0.5 * 7h

Multiply 0.5 * 7
42 = 3.5h

Solving
42 = 3.5h

Solving for variable 'h'.

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

Add '-3.5h' to each side of the equation.
42 + -3.5h = 3.5h + -3.5h

Combine like terms: 3.5h + -3.5h = 0.0
42 + -3.5h = 0.0

Add '-42' to each side of the equation.
42 + -42 + -3.5h = 0.0 + -42

Combine like terms: 42 + -42 = 0
0 + -3.5h = 0.0 + -42
-3.5h = 0.0 + -42

Combine like terms: 0.0 + -42 = -42
-3.5h = -42

Divide each side by '-3.5'.
h = 12

Simplifying
h = 12