4(h+10)+2h=18-2(h-3)

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Solution for 4(h+10)+2h=18-2(h-3) equation: 


Simplifying
4(h + 10) + 2h = 18 + -2(h + -3)

Reorder the terms:
4(10 + h) + 2h = 18 + -2(h + -3)
(10 * 4 + h * 4) + 2h = 18 + -2(h + -3)
(40 + 4h) + 2h = 18 + -2(h + -3)

Combine like terms: 4h + 2h = 6h
40 + 6h = 18 + -2(h + -3)

Reorder the terms:
40 + 6h = 18 + -2(-3 + h)
40 + 6h = 18 + (-3 * -2 + h * -2)
40 + 6h = 18 + (6 + -2h)

Combine like terms: 18 + 6 = 24
40 + 6h = 24 + -2h

Solving
40 + 6h = 24 + -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.
40 + 6h + 2h = 24 + -2h + 2h

Combine like terms: 6h + 2h = 8h
40 + 8h = 24 + -2h + 2h

Combine like terms: -2h + 2h = 0
40 + 8h = 24 + 0
40 + 8h = 24

Add '-40' to each side of the equation.
40 + -40 + 8h = 24 + -40

Combine like terms: 40 + -40 = 0
0 + 8h = 24 + -40
8h = 24 + -40

Combine like terms: 24 + -40 = -16
8h = -16

Divide each side by '8'.
h = -2

Simplifying
h = -2

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