-78=-6h+6(7-3h)

Solution for -78=-6h+6(7-3h) equation:

Simplifying
-78 = -6h + 6(7 + -3h)
-78 = -6h + (7 * 6 + -3h * 6)
-78 = -6h + (42 + -18h)

Reorder the terms:
-78 = 42 + -6h + -18h

Combine like terms: -6h + -18h = -24h
-78 = 42 + -24h

Solving
-78 = 42 + -24h

Solving for variable 'h'.

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

Add '24h' to each side of the equation.
-78 + 24h = 42 + -24h + 24h

Combine like terms: -24h + 24h = 0
-78 + 24h = 42 + 0
-78 + 24h = 42

Add '78' to each side of the equation.
-78 + 78 + 24h = 42 + 78

Combine like terms: -78 + 78 = 0
0 + 24h = 42 + 78
24h = 42 + 78

Combine like terms: 42 + 78 = 120
24h = 120

Divide each side by '24'.
h = 5

Simplifying
h = 5