15-5(-h+1)=8(2h)-6h

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Solution for 15-5(-h+1)=8(2h)-6h equation:


Simplifying
15 + -5(-1h + 1) = 8(2h) + -6h

Reorder the terms:
15 + -5(1 + -1h) = 8(2h) + -6h
15 + (1 * -5 + -1h * -5) = 8(2h) + -6h
15 + (-5 + 5h) = 8(2h) + -6h

Combine like terms: 15 + -5 = 10
10 + 5h = 8(2h) + -6h

Remove parenthesis around (2h)
10 + 5h = 8 * 2h + -6h

Multiply 8 * 2
10 + 5h = 16h + -6h

Combine like terms: 16h + -6h = 10h
10 + 5h = 10h

Solving
10 + 5h = 10h

Solving for variable 'h'.

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

Add '-10h' to each side of the equation.
10 + 5h + -10h = 10h + -10h

Combine like terms: 5h + -10h = -5h
10 + -5h = 10h + -10h

Combine like terms: 10h + -10h = 0
10 + -5h = 0

Add '-10' to each side of the equation.
10 + -10 + -5h = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5h = 0 + -10
-5h = 0 + -10

Combine like terms: 0 + -10 = -10
-5h = -10

Divide each side by '-5'.
h = 2

Simplifying
h = 2

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