30=3h+18-2(h-3)

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Solution for 30=3h+18-2(h-3) equation:


Simplifying
30 = 3h + 18 + -2(h + -3)

Reorder the terms:
30 = 3h + 18 + -2(-3 + h)
30 = 3h + 18 + (-3 * -2 + h * -2)
30 = 3h + 18 + (6 + -2h)

Reorder the terms:
30 = 18 + 6 + 3h + -2h

Combine like terms: 18 + 6 = 24
30 = 24 + 3h + -2h

Combine like terms: 3h + -2h = 1h
30 = 24 + 1h

Solving
30 = 24 + 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.
30 + -1h = 24 + 1h + -1h

Combine like terms: 1h + -1h = 0
30 + -1h = 24 + 0
30 + -1h = 24

Add '-30' to each side of the equation.
30 + -30 + -1h = 24 + -30

Combine like terms: 30 + -30 = 0
0 + -1h = 24 + -30
-1h = 24 + -30

Combine like terms: 24 + -30 = -6
-1h = -6

Divide each side by '-1'.
h = 6

Simplifying
h = 6

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