6(3-h)+(-20)=10+3(4h+2)

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Solution for 6(3-h)+(-20)=10+3(4h+2) equation: 


Simplifying
6(3 + -1h) + (-20) = 10 + 3(4h + 2)
(3 * 6 + -1h * 6) + (-20) = 10 + 3(4h + 2)
(18 + -6h) + (-20) = 10 + 3(4h + 2)
18 + -6h + -20 = 10 + 3(4h + 2)

Reorder the terms:
18 + -20 + -6h = 10 + 3(4h + 2)

Combine like terms: 18 + -20 = -2
-2 + -6h = 10 + 3(4h + 2)

Reorder the terms:
-2 + -6h = 10 + 3(2 + 4h)
-2 + -6h = 10 + (2 * 3 + 4h * 3)
-2 + -6h = 10 + (6 + 12h)

Combine like terms: 10 + 6 = 16
-2 + -6h = 16 + 12h

Solving
-2 + -6h = 16 + 12h

Solving for variable 'h'.

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

Add '-12h' to each side of the equation.
-2 + -6h + -12h = 16 + 12h + -12h

Combine like terms: -6h + -12h = -18h
-2 + -18h = 16 + 12h + -12h

Combine like terms: 12h + -12h = 0
-2 + -18h = 16 + 0
-2 + -18h = 16

Add '2' to each side of the equation.
-2 + 2 + -18h = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -18h = 16 + 2
-18h = 16 + 2

Combine like terms: 16 + 2 = 18
-18h = 18

Divide each side by '-18'.
h = -1

Simplifying
h = -1

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