2(6h+1)=4(h-5)-2

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Solution for 2(6h+1)=4(h-5)-2 equation: 


Simplifying
2(6h + 1) = 4(h + -5) + -2

Reorder the terms:
2(1 + 6h) = 4(h + -5) + -2
(1 * 2 + 6h * 2) = 4(h + -5) + -2
(2 + 12h) = 4(h + -5) + -2

Reorder the terms:
2 + 12h = 4(-5 + h) + -2
2 + 12h = (-5 * 4 + h * 4) + -2
2 + 12h = (-20 + 4h) + -2

Reorder the terms:
2 + 12h = -20 + -2 + 4h

Combine like terms: -20 + -2 = -22
2 + 12h = -22 + 4h

Solving
2 + 12h = -22 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
2 + 12h + -4h = -22 + 4h + -4h

Combine like terms: 12h + -4h = 8h
2 + 8h = -22 + 4h + -4h

Combine like terms: 4h + -4h = 0
2 + 8h = -22 + 0
2 + 8h = -22

Add '-2' to each side of the equation.
2 + -2 + 8h = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8h = -22 + -2
8h = -22 + -2

Combine like terms: -22 + -2 = -24
8h = -24

Divide each side by '8'.
h = -3

Simplifying
h = -3

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