12.4(2h+3)=0.9(3h-2)

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Solution for 12.4(2h+3)=0.9(3h-2) equation: 


Simplifying
12.4(2h + 3) = 0.9(3h + -2)

Reorder the terms:
12.4(3 + 2h) = 0.9(3h + -2)
(3 * 12.4 + 2h * 12.4) = 0.9(3h + -2)
(37.2 + 24.8h) = 0.9(3h + -2)

Reorder the terms:
37.2 + 24.8h = 0.9(-2 + 3h)
37.2 + 24.8h = (-2 * 0.9 + 3h * 0.9)
37.2 + 24.8h = (-1.8 + 2.7h)

Solving
37.2 + 24.8h = -1.8 + 2.7h

Solving for variable 'h'.

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

Add '-2.7h' to each side of the equation.
37.2 + 24.8h + -2.7h = -1.8 + 2.7h + -2.7h

Combine like terms: 24.8h + -2.7h = 22.1h
37.2 + 22.1h = -1.8 + 2.7h + -2.7h

Combine like terms: 2.7h + -2.7h = 0.0
37.2 + 22.1h = -1.8 + 0.0
37.2 + 22.1h = -1.8

Add '-37.2' to each side of the equation.
37.2 + -37.2 + 22.1h = -1.8 + -37.2

Combine like terms: 37.2 + -37.2 = 0.0
0.0 + 22.1h = -1.8 + -37.2
22.1h = -1.8 + -37.2

Combine like terms: -1.8 + -37.2 = -39
22.1h = -39

Divide each side by '22.1'.
h = -1.764705882

Simplifying
h = -1.764705882

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