3(2h-6)-6(h+5)=2(4h-4)-10(h+4)

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Solution for 3(2h-6)-6(h+5)=2(4h-4)-10(h+4) equation: 


Simplifying
3(2h + -6) + -6(h + 5) = 2(4h + -4) + -10(h + 4)

Reorder the terms:
3(-6 + 2h) + -6(h + 5) = 2(4h + -4) + -10(h + 4)
(-6 * 3 + 2h * 3) + -6(h + 5) = 2(4h + -4) + -10(h + 4)
(-18 + 6h) + -6(h + 5) = 2(4h + -4) + -10(h + 4)

Reorder the terms:
-18 + 6h + -6(5 + h) = 2(4h + -4) + -10(h + 4)
-18 + 6h + (5 * -6 + h * -6) = 2(4h + -4) + -10(h + 4)
-18 + 6h + (-30 + -6h) = 2(4h + -4) + -10(h + 4)

Reorder the terms:
-18 + -30 + 6h + -6h = 2(4h + -4) + -10(h + 4)

Combine like terms: -18 + -30 = -48
-48 + 6h + -6h = 2(4h + -4) + -10(h + 4)

Combine like terms: 6h + -6h = 0
-48 + 0 = 2(4h + -4) + -10(h + 4)
-48 = 2(4h + -4) + -10(h + 4)

Reorder the terms:
-48 = 2(-4 + 4h) + -10(h + 4)
-48 = (-4 * 2 + 4h * 2) + -10(h + 4)
-48 = (-8 + 8h) + -10(h + 4)

Reorder the terms:
-48 = -8 + 8h + -10(4 + h)
-48 = -8 + 8h + (4 * -10 + h * -10)
-48 = -8 + 8h + (-40 + -10h)

Reorder the terms:
-48 = -8 + -40 + 8h + -10h

Combine like terms: -8 + -40 = -48
-48 = -48 + 8h + -10h

Combine like terms: 8h + -10h = -2h
-48 = -48 + -2h

Add '48' to each side of the equation.
-48 + 48 = -48 + 48 + -2h

Combine like terms: -48 + 48 = 0
0 = -48 + 48 + -2h

Combine like terms: -48 + 48 = 0
0 = 0 + -2h
0 = -2h

Solving
0 = -2h

Solving for variable 'h'.

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

Add '2h' to each side of the equation.
0 + 2h = -2h + 2h
Remove the zero:
2h = -2h + 2h

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

Divide each side by '2'.
h = 0

Simplifying
h = 0

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