-18h+17+16=3(-11h-14)+10h

Solution for -18h+17+16=3(-11h-14)+10h equation:

Simplifying
-18h + 17 + 16 = 3(-11h + -14) + 10h

Reorder the terms:
17 + 16 + -18h = 3(-11h + -14) + 10h

Combine like terms: 17 + 16 = 33
33 + -18h = 3(-11h + -14) + 10h

Reorder the terms:
33 + -18h = 3(-14 + -11h) + 10h
33 + -18h = (-14 * 3 + -11h * 3) + 10h
33 + -18h = (-42 + -33h) + 10h

Combine like terms: -33h + 10h = -23h
33 + -18h = -42 + -23h

Solving
33 + -18h = -42 + -23h

Solving for variable 'h'.

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

Add '23h' to each side of the equation.
33 + -18h + 23h = -42 + -23h + 23h

Combine like terms: -18h + 23h = 5h
33 + 5h = -42 + -23h + 23h

Combine like terms: -23h + 23h = 0
33 + 5h = -42 + 0
33 + 5h = -42

Add '-33' to each side of the equation.
33 + -33 + 5h = -42 + -33

Combine like terms: 33 + -33 = 0
0 + 5h = -42 + -33
5h = -42 + -33

Combine like terms: -42 + -33 = -75
5h = -75

Divide each side by '5'.
h = -15

Simplifying
h = -15