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

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


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

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

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

Combine like terms: 1 + -2 = -1
-2 + 10h = -1 + 3h + 38h

Combine like terms: 3h + 38h = 41h
-2 + 10h = -1 + 41h

Solving
-2 + 10h = -1 + 41h

Solving for variable 'h'.

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

Add '-41h' to each side of the equation.
-2 + 10h + -41h = -1 + 41h + -41h

Combine like terms: 10h + -41h = -31h
-2 + -31h = -1 + 41h + -41h

Combine like terms: 41h + -41h = 0
-2 + -31h = -1 + 0
-2 + -31h = -1

Add '2' to each side of the equation.
-2 + 2 + -31h = -1 + 2

Combine like terms: -2 + 2 = 0
0 + -31h = -1 + 2
-31h = -1 + 2

Combine like terms: -1 + 2 = 1
-31h = 1

Divide each side by '-31'.
h = -0.03225806452

Simplifying
h = -0.03225806452

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