-12=-2h+0.2(20-2h)

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Solution for -12=-2h+0.2(20-2h) equation:


Simplifying
-12 = -2h + 0.2(20 + -2h)
-12 = -2h + (20 * 0.2 + -2h * 0.2)
-12 = -2h + (4 + -0.4h)

Reorder the terms:
-12 = 4 + -2h + -0.4h

Combine like terms: -2h + -0.4h = -2.4h
-12 = 4 + -2.4h

Solving
-12 = 4 + -2.4h

Solving for variable 'h'.

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

Add '2.4h' to each side of the equation.
-12 + 2.4h = 4 + -2.4h + 2.4h

Combine like terms: -2.4h + 2.4h = 0.0
-12 + 2.4h = 4 + 0.0
-12 + 2.4h = 4

Add '12' to each side of the equation.
-12 + 12 + 2.4h = 4 + 12

Combine like terms: -12 + 12 = 0
0 + 2.4h = 4 + 12
2.4h = 4 + 12

Combine like terms: 4 + 12 = 16
2.4h = 16

Divide each side by '2.4'.
h = 6.666666667

Simplifying
h = 6.666666667

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