-7(6+2h)=2(h+9)-h

Solution for -7(6+2h)=2(h+9)-h equation:

Simplifying
-7(6 + 2h) = 2(h + 9) + -1h
(6 * -7 + 2h * -7) = 2(h + 9) + -1h
(-42 + -14h) = 2(h + 9) + -1h

Reorder the terms:
-42 + -14h = 2(9 + h) + -1h
-42 + -14h = (9 * 2 + h * 2) + -1h
-42 + -14h = (18 + 2h) + -1h

Combine like terms: 2h + -1h = 1h
-42 + -14h = 18 + 1h

Solving
-42 + -14h = 18 + 1h

Solving for variable 'h'.

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

Add '-1h' to each side of the equation.
-42 + -14h + -1h = 18 + 1h + -1h

Combine like terms: -14h + -1h = -15h
-42 + -15h = 18 + 1h + -1h

Combine like terms: 1h + -1h = 0
-42 + -15h = 18 + 0
-42 + -15h = 18

Add '42' to each side of the equation.
-42 + 42 + -15h = 18 + 42

Combine like terms: -42 + 42 = 0
0 + -15h = 18 + 42
-15h = 18 + 42

Combine like terms: 18 + 42 = 60
-15h = 60

Divide each side by '-15'.
h = -4

Simplifying
h = -4