6=0.75(h+7)

Solution for 6=0.75(h+7) equation:

Simplifying
6 = 0.75(h + 7)

Reorder the terms:
6 = 0.75(7 + h)
6 = (7 * 0.75 + h * 0.75)
6 = (5.25 + 0.75h)

Solving
6 = 5.25 + 0.75h

Solving for variable 'h'.

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

Add '-0.75h' to each side of the equation.
6 + -0.75h = 5.25 + 0.75h + -0.75h

Combine like terms: 0.75h + -0.75h = 0.00
6 + -0.75h = 5.25 + 0.00
6 + -0.75h = 5.25

Add '-6' to each side of the equation.
6 + -6 + -0.75h = 5.25 + -6

Combine like terms: 6 + -6 = 0
0 + -0.75h = 5.25 + -6
-0.75h = 5.25 + -6

Combine like terms: 5.25 + -6 = -0.75
-0.75h = -0.75

Divide each side by '-0.75'.
h = 1

Simplifying
h = 1