20+(h-6)+(h-4)=22-(h-2)+(4-h)

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Solution for 20+(h-6)+(h-4)=22-(h-2)+(4-h) equation: 


Simplifying
20 + (h + -6) + (h + -4) = 22 + -1(h + -2) + (4 + -1h)

Reorder the terms:
20 + (-6 + h) + (h + -4) = 22 + -1(h + -2) + (4 + -1h)

Remove parenthesis around (-6 + h)
20 + -6 + h + (h + -4) = 22 + -1(h + -2) + (4 + -1h)

Reorder the terms:
20 + -6 + h + (-4 + h) = 22 + -1(h + -2) + (4 + -1h)

Remove parenthesis around (-4 + h)
20 + -6 + h + -4 + h = 22 + -1(h + -2) + (4 + -1h)

Reorder the terms:
20 + -6 + -4 + h + h = 22 + -1(h + -2) + (4 + -1h)

Combine like terms: 20 + -6 = 14
14 + -4 + h + h = 22 + -1(h + -2) + (4 + -1h)

Combine like terms: 14 + -4 = 10
10 + h + h = 22 + -1(h + -2) + (4 + -1h)

Combine like terms: h + h = 2h
10 + 2h = 22 + -1(h + -2) + (4 + -1h)

Reorder the terms:
10 + 2h = 22 + -1(-2 + h) + (4 + -1h)
10 + 2h = 22 + (-2 * -1 + h * -1) + (4 + -1h)
10 + 2h = 22 + (2 + -1h) + (4 + -1h)

Remove parenthesis around (4 + -1h)
10 + 2h = 22 + 2 + -1h + 4 + -1h

Reorder the terms:
10 + 2h = 22 + 2 + 4 + -1h + -1h

Combine like terms: 22 + 2 = 24
10 + 2h = 24 + 4 + -1h + -1h

Combine like terms: 24 + 4 = 28
10 + 2h = 28 + -1h + -1h

Combine like terms: -1h + -1h = -2h
10 + 2h = 28 + -2h

Solving
10 + 2h = 28 + -2h

Solving for variable 'h'.

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

Add '2h' to each side of the equation.
10 + 2h + 2h = 28 + -2h + 2h

Combine like terms: 2h + 2h = 4h
10 + 4h = 28 + -2h + 2h

Combine like terms: -2h + 2h = 0
10 + 4h = 28 + 0
10 + 4h = 28

Add '-10' to each side of the equation.
10 + -10 + 4h = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 4h = 28 + -10
4h = 28 + -10

Combine like terms: 28 + -10 = 18
4h = 18

Divide each side by '4'.
h = 4.5

Simplifying
h = 4.5

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