78=.50h(6+7)

Solution for 78=.50h(6+7) equation:

Simplifying
78 = 0.50h(6 + 7)

Combine like terms: 6 + 7 = 13
78 = 0.50h(13)

Reorder the terms for easier multiplication:
78 = 0.50 * 13h

Multiply 0.50 * 13
78 = 6.5h

Solving
78 = 6.5h

Solving for variable 'h'.

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

Add '-6.5h' to each side of the equation.
78 + -6.5h = 6.5h + -6.5h

Combine like terms: 6.5h + -6.5h = 0.0
78 + -6.5h = 0.0

Add '-78' to each side of the equation.
78 + -78 + -6.5h = 0.0 + -78

Combine like terms: 78 + -78 = 0
0 + -6.5h = 0.0 + -78
-6.5h = 0.0 + -78

Combine like terms: 0.0 + -78 = -78
-6.5h = -78

Divide each side by '-6.5'.
h = 12

Simplifying
h = 12