7(2-5h)=4(-2+3h)-6(8+9h)

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Solution for 7(2-5h)=4(-2+3h)-6(8+9h) equation:


Simplifying
7(2 + -5h) = 4(-2 + 3h) + -6(8 + 9h)
(2 * 7 + -5h * 7) = 4(-2 + 3h) + -6(8 + 9h)
(14 + -35h) = 4(-2 + 3h) + -6(8 + 9h)
14 + -35h = (-2 * 4 + 3h * 4) + -6(8 + 9h)
14 + -35h = (-8 + 12h) + -6(8 + 9h)
14 + -35h = -8 + 12h + (8 * -6 + 9h * -6)
14 + -35h = -8 + 12h + (-48 + -54h)

Reorder the terms:
14 + -35h = -8 + -48 + 12h + -54h

Combine like terms: -8 + -48 = -56
14 + -35h = -56 + 12h + -54h

Combine like terms: 12h + -54h = -42h
14 + -35h = -56 + -42h

Solving
14 + -35h = -56 + -42h

Solving for variable 'h'.

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

Add '42h' to each side of the equation.
14 + -35h + 42h = -56 + -42h + 42h

Combine like terms: -35h + 42h = 7h
14 + 7h = -56 + -42h + 42h

Combine like terms: -42h + 42h = 0
14 + 7h = -56 + 0
14 + 7h = -56

Add '-14' to each side of the equation.
14 + -14 + 7h = -56 + -14

Combine like terms: 14 + -14 = 0
0 + 7h = -56 + -14
7h = -56 + -14

Combine like terms: -56 + -14 = -70
7h = -70

Divide each side by '7'.
h = -10

Simplifying
h = -10

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