9(5h+6)-3=5(-8h+3)+1

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Solution for 9(5h+6)-3=5(-8h+3)+1 equation: 


Simplifying
9(5h + 6) + -3 = 5(-8h + 3) + 1

Reorder the terms:
9(6 + 5h) + -3 = 5(-8h + 3) + 1
(6 * 9 + 5h * 9) + -3 = 5(-8h + 3) + 1
(54 + 45h) + -3 = 5(-8h + 3) + 1

Reorder the terms:
54 + -3 + 45h = 5(-8h + 3) + 1

Combine like terms: 54 + -3 = 51
51 + 45h = 5(-8h + 3) + 1

Reorder the terms:
51 + 45h = 5(3 + -8h) + 1
51 + 45h = (3 * 5 + -8h * 5) + 1
51 + 45h = (15 + -40h) + 1

Reorder the terms:
51 + 45h = 15 + 1 + -40h

Combine like terms: 15 + 1 = 16
51 + 45h = 16 + -40h

Solving
51 + 45h = 16 + -40h

Solving for variable 'h'.

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

Add '40h' to each side of the equation.
51 + 45h + 40h = 16 + -40h + 40h

Combine like terms: 45h + 40h = 85h
51 + 85h = 16 + -40h + 40h

Combine like terms: -40h + 40h = 0
51 + 85h = 16 + 0
51 + 85h = 16

Add '-51' to each side of the equation.
51 + -51 + 85h = 16 + -51

Combine like terms: 51 + -51 = 0
0 + 85h = 16 + -51
85h = 16 + -51

Combine like terms: 16 + -51 = -35
85h = -35

Divide each side by '85'.
h = -0.4117647059

Simplifying
h = -0.4117647059

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