3(1-6h)=-2(3h+1)+9

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Solution for 3(1-6h)=-2(3h+1)+9 equation:


Simplifying
3(1 + -6h) = -2(3h + 1) + 9
(1 * 3 + -6h * 3) = -2(3h + 1) + 9
(3 + -18h) = -2(3h + 1) + 9

Reorder the terms:
3 + -18h = -2(1 + 3h) + 9
3 + -18h = (1 * -2 + 3h * -2) + 9
3 + -18h = (-2 + -6h) + 9

Reorder the terms:
3 + -18h = -2 + 9 + -6h

Combine like terms: -2 + 9 = 7
3 + -18h = 7 + -6h

Solving
3 + -18h = 7 + -6h

Solving for variable 'h'.

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

Add '6h' to each side of the equation.
3 + -18h + 6h = 7 + -6h + 6h

Combine like terms: -18h + 6h = -12h
3 + -12h = 7 + -6h + 6h

Combine like terms: -6h + 6h = 0
3 + -12h = 7 + 0
3 + -12h = 7

Add '-3' to each side of the equation.
3 + -3 + -12h = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -12h = 7 + -3
-12h = 7 + -3

Combine like terms: 7 + -3 = 4
-12h = 4

Divide each side by '-12'.
h = -0.3333333333

Simplifying
h = -0.3333333333

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