214=2(6)(7+h)+2(7)h

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Solution for 214=2(6)(7+h)+2(7)h equation: 


Simplifying
214 = 2(6)(7 + h) + 2(7) * h

Multiply 2 * 6
214 = 12(7 + h) + 2(7) * h
214 = (7 * 12 + h * 12) + 2(7) * h
214 = (84 + 12h) + 2(7) * h

Multiply 2 * 7
214 = 84 + 12h + 14h

Combine like terms: 12h + 14h = 26h
214 = 84 + 26h

Solving
214 = 84 + 26h

Solving for variable 'h'.

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

Add '-26h' to each side of the equation.
214 + -26h = 84 + 26h + -26h

Combine like terms: 26h + -26h = 0
214 + -26h = 84 + 0
214 + -26h = 84

Add '-214' to each side of the equation.
214 + -214 + -26h = 84 + -214

Combine like terms: 214 + -214 = 0
0 + -26h = 84 + -214
-26h = 84 + -214

Combine like terms: 84 + -214 = -130
-26h = -130

Divide each side by '-26'.
h = 5

Simplifying
h = 5

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