-6h+7=3(2h-3)-4(-10+4h)

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Solution for -6h+7=3(2h-3)-4(-10+4h) equation:


Simplifying
-6h + 7 = 3(2h + -3) + -4(-10 + 4h)

Reorder the terms:
7 + -6h = 3(2h + -3) + -4(-10 + 4h)

Reorder the terms:
7 + -6h = 3(-3 + 2h) + -4(-10 + 4h)
7 + -6h = (-3 * 3 + 2h * 3) + -4(-10 + 4h)
7 + -6h = (-9 + 6h) + -4(-10 + 4h)
7 + -6h = -9 + 6h + (-10 * -4 + 4h * -4)
7 + -6h = -9 + 6h + (40 + -16h)

Reorder the terms:
7 + -6h = -9 + 40 + 6h + -16h

Combine like terms: -9 + 40 = 31
7 + -6h = 31 + 6h + -16h

Combine like terms: 6h + -16h = -10h
7 + -6h = 31 + -10h

Solving
7 + -6h = 31 + -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.
7 + -6h + 10h = 31 + -10h + 10h

Combine like terms: -6h + 10h = 4h
7 + 4h = 31 + -10h + 10h

Combine like terms: -10h + 10h = 0
7 + 4h = 31 + 0
7 + 4h = 31

Add '-7' to each side of the equation.
7 + -7 + 4h = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 4h = 31 + -7
4h = 31 + -7

Combine like terms: 31 + -7 = 24
4h = 24

Divide each side by '4'.
h = 6

Simplifying
h = 6

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