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

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


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

Reorder the terms:
3(-2 + h) + -1 = 2h + 4(2 + h)
(-2 * 3 + h * 3) + -1 = 2h + 4(2 + h)
(-6 + 3h) + -1 = 2h + 4(2 + h)

Reorder the terms:
-6 + -1 + 3h = 2h + 4(2 + h)

Combine like terms: -6 + -1 = -7
-7 + 3h = 2h + 4(2 + h)
-7 + 3h = 2h + (2 * 4 + h * 4)
-7 + 3h = 2h + (8 + 4h)

Reorder the terms:
-7 + 3h = 8 + 2h + 4h

Combine like terms: 2h + 4h = 6h
-7 + 3h = 8 + 6h

Solving
-7 + 3h = 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.
-7 + 3h + -6h = 8 + 6h + -6h

Combine like terms: 3h + -6h = -3h
-7 + -3h = 8 + 6h + -6h

Combine like terms: 6h + -6h = 0
-7 + -3h = 8 + 0
-7 + -3h = 8

Add '7' to each side of the equation.
-7 + 7 + -3h = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -3h = 8 + 7
-3h = 8 + 7

Combine like terms: 8 + 7 = 15
-3h = 15

Divide each side by '-3'.
h = -5

Simplifying
h = -5

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