2.2(h-5.3)=0.2(-39.2+h)

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Solution for 2.2(h-5.3)=0.2(-39.2+h) equation: 


Simplifying
2.2(h + -5.3) = 0.2(-39.2 + h)

Reorder the terms:
2.2(-5.3 + h) = 0.2(-39.2 + h)
(-5.3 * 2.2 + h * 2.2) = 0.2(-39.2 + h)
(-11.66 + 2.2h) = 0.2(-39.2 + h)
-11.66 + 2.2h = (-39.2 * 0.2 + h * 0.2)
-11.66 + 2.2h = (-7.84 + 0.2h)

Solving
-11.66 + 2.2h = -7.84 + 0.2h

Solving for variable 'h'.

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

Add '-0.2h' to each side of the equation.
-11.66 + 2.2h + -0.2h = -7.84 + 0.2h + -0.2h

Combine like terms: 2.2h + -0.2h = 2h
-11.66 + 2h = -7.84 + 0.2h + -0.2h

Combine like terms: 0.2h + -0.2h = 0.0
-11.66 + 2h = -7.84 + 0.0
-11.66 + 2h = -7.84

Add '11.66' to each side of the equation.
-11.66 + 11.66 + 2h = -7.84 + 11.66

Combine like terms: -11.66 + 11.66 = 0.00
0.00 + 2h = -7.84 + 11.66
2h = -7.84 + 11.66

Combine like terms: -7.84 + 11.66 = 3.82
2h = 3.82

Divide each side by '2'.
h = 1.91

Simplifying
h = 1.91

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