3(2h+6)-4h=3(h-12)

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Solution for 3(2h+6)-4h=3(h-12) equation:


Simplifying
3(2h + 6) + -4h = 3(h + -12)

Reorder the terms:
3(6 + 2h) + -4h = 3(h + -12)
(6 * 3 + 2h * 3) + -4h = 3(h + -12)
(18 + 6h) + -4h = 3(h + -12)

Combine like terms: 6h + -4h = 2h
18 + 2h = 3(h + -12)

Reorder the terms:
18 + 2h = 3(-12 + h)
18 + 2h = (-12 * 3 + h * 3)
18 + 2h = (-36 + 3h)

Solving
18 + 2h = -36 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
18 + 2h + -3h = -36 + 3h + -3h

Combine like terms: 2h + -3h = -1h
18 + -1h = -36 + 3h + -3h

Combine like terms: 3h + -3h = 0
18 + -1h = -36 + 0
18 + -1h = -36

Add '-18' to each side of the equation.
18 + -18 + -1h = -36 + -18

Combine like terms: 18 + -18 = 0
0 + -1h = -36 + -18
-1h = -36 + -18

Combine like terms: -36 + -18 = -54
-1h = -54

Divide each side by '-1'.
h = 54

Simplifying
h = 54

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