2(3h-1)+4h=10(2-3h)+38

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Solution for 2(3h-1)+4h=10(2-3h)+38 equation: 


Simplifying
2(3h + -1) + 4h = 10(2 + -3h) + 38

Reorder the terms:
2(-1 + 3h) + 4h = 10(2 + -3h) + 38
(-1 * 2 + 3h * 2) + 4h = 10(2 + -3h) + 38
(-2 + 6h) + 4h = 10(2 + -3h) + 38

Combine like terms: 6h + 4h = 10h
-2 + 10h = 10(2 + -3h) + 38
-2 + 10h = (2 * 10 + -3h * 10) + 38
-2 + 10h = (20 + -30h) + 38

Reorder the terms:
-2 + 10h = 20 + 38 + -30h

Combine like terms: 20 + 38 = 58
-2 + 10h = 58 + -30h

Solving
-2 + 10h = 58 + -30h

Solving for variable 'h'.

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

Add '30h' to each side of the equation.
-2 + 10h + 30h = 58 + -30h + 30h

Combine like terms: 10h + 30h = 40h
-2 + 40h = 58 + -30h + 30h

Combine like terms: -30h + 30h = 0
-2 + 40h = 58 + 0
-2 + 40h = 58

Add '2' to each side of the equation.
-2 + 2 + 40h = 58 + 2

Combine like terms: -2 + 2 = 0
0 + 40h = 58 + 2
40h = 58 + 2

Combine like terms: 58 + 2 = 60
40h = 60

Divide each side by '40'.
h = 1.5

Simplifying
h = 1.5

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