0.5h+3(h-6)=1h+2

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Solution for 0.5h+3(h-6)=1h+2 equation: 


Simplifying
0.5h + 3(h + -6) = 1h + 2

Reorder the terms:
0.5h + 3(-6 + h) = 1h + 2
0.5h + (-6 * 3 + h * 3) = 1h + 2
0.5h + (-18 + 3h) = 1h + 2

Reorder the terms:
-18 + 0.5h + 3h = 1h + 2

Combine like terms: 0.5h + 3h = 3.5h
-18 + 3.5h = 1h + 2

Reorder the terms:
-18 + 3.5h = 2 + 1h

Solving
-18 + 3.5h = 2 + 1h

Solving for variable 'h'.

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

Add '-1h' to each side of the equation.
-18 + 3.5h + -1h = 2 + 1h + -1h

Combine like terms: 3.5h + -1h = 2.5h
-18 + 2.5h = 2 + 1h + -1h

Combine like terms: 1h + -1h = 0
-18 + 2.5h = 2 + 0
-18 + 2.5h = 2

Add '18' to each side of the equation.
-18 + 18 + 2.5h = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 2.5h = 2 + 18
2.5h = 2 + 18

Combine like terms: 2 + 18 = 20
2.5h = 20

Divide each side by '2.5'.
h = 8

Simplifying
h = 8

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