6h-(9-3h)=6-3(h+2)

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Solution for 6h-(9-3h)=6-3(h+2) equation:


Simplifying
6h + -1(9 + -3h) = 6 + -3(h + 2)
6h + (9 * -1 + -3h * -1) = 6 + -3(h + 2)
6h + (-9 + 3h) = 6 + -3(h + 2)

Reorder the terms:
-9 + 6h + 3h = 6 + -3(h + 2)

Combine like terms: 6h + 3h = 9h
-9 + 9h = 6 + -3(h + 2)

Reorder the terms:
-9 + 9h = 6 + -3(2 + h)
-9 + 9h = 6 + (2 * -3 + h * -3)
-9 + 9h = 6 + (-6 + -3h)

Combine like terms: 6 + -6 = 0
-9 + 9h = 0 + -3h
-9 + 9h = -3h

Solving
-9 + 9h = -3h

Solving for variable 'h'.

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

Add '3h' to each side of the equation.
-9 + 9h + 3h = -3h + 3h

Combine like terms: 9h + 3h = 12h
-9 + 12h = -3h + 3h

Combine like terms: -3h + 3h = 0
-9 + 12h = 0

Add '9' to each side of the equation.
-9 + 9 + 12h = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 12h = 0 + 9
12h = 0 + 9

Combine like terms: 0 + 9 = 9
12h = 9

Divide each side by '12'.
h = 0.75

Simplifying
h = 0.75

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