3h+1+h+13=2(3h-4)

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Solution for 3h+1+h+13=2(3h-4) equation: 


Simplifying
3h + 1 + h + 13 = 2(3h + -4)

Reorder the terms:
1 + 13 + 3h + h = 2(3h + -4)

Combine like terms: 1 + 13 = 14
14 + 3h + h = 2(3h + -4)

Combine like terms: 3h + h = 4h
14 + 4h = 2(3h + -4)

Reorder the terms:
14 + 4h = 2(-4 + 3h)
14 + 4h = (-4 * 2 + 3h * 2)
14 + 4h = (-8 + 6h)

Solving
14 + 4h = -8 + 6h

Solving for variable 'h'.

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

Add '-6h' to each side of the equation.
14 + 4h + -6h = -8 + 6h + -6h

Combine like terms: 4h + -6h = -2h
14 + -2h = -8 + 6h + -6h

Combine like terms: 6h + -6h = 0
14 + -2h = -8 + 0
14 + -2h = -8

Add '-14' to each side of the equation.
14 + -14 + -2h = -8 + -14

Combine like terms: 14 + -14 = 0
0 + -2h = -8 + -14
-2h = -8 + -14

Combine like terms: -8 + -14 = -22
-2h = -22

Divide each side by '-2'.
h = 11

Simplifying
h = 11

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