6h+7=3(4h-71)

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Solution for 6h+7=3(4h-71) equation: 


Simplifying
6h + 7 = 3(4h + -71)

Reorder the terms:
7 + 6h = 3(4h + -71)

Reorder the terms:
7 + 6h = 3(-71 + 4h)
7 + 6h = (-71 * 3 + 4h * 3)
7 + 6h = (-213 + 12h)

Solving
7 + 6h = -213 + 12h

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
7 + 6h + -12h = -213 + 12h + -12h

Combine like terms: 6h + -12h = -6h
7 + -6h = -213 + 12h + -12h

Combine like terms: 12h + -12h = 0
7 + -6h = -213 + 0
7 + -6h = -213

Add '-7' to each side of the equation.
7 + -7 + -6h = -213 + -7

Combine like terms: 7 + -7 = 0
0 + -6h = -213 + -7
-6h = -213 + -7

Combine like terms: -213 + -7 = -220
-6h = -220

Divide each side by '-6'.
h = 36.66666667

Simplifying
h = 36.66666667

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