3h-5(h+3)-h=3-2(3h+4)

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Solution for 3h-5(h+3)-h=3-2(3h+4) equation:


Simplifying
3h + -5(h + 3) + -1h = 3 + -2(3h + 4)

Reorder the terms:
3h + -5(3 + h) + -1h = 3 + -2(3h + 4)
3h + (3 * -5 + h * -5) + -1h = 3 + -2(3h + 4)
3h + (-15 + -5h) + -1h = 3 + -2(3h + 4)

Reorder the terms:
-15 + 3h + -5h + -1h = 3 + -2(3h + 4)

Combine like terms: 3h + -5h = -2h
-15 + -2h + -1h = 3 + -2(3h + 4)

Combine like terms: -2h + -1h = -3h
-15 + -3h = 3 + -2(3h + 4)

Reorder the terms:
-15 + -3h = 3 + -2(4 + 3h)
-15 + -3h = 3 + (4 * -2 + 3h * -2)
-15 + -3h = 3 + (-8 + -6h)

Combine like terms: 3 + -8 = -5
-15 + -3h = -5 + -6h

Solving
-15 + -3h = -5 + -6h

Solving for variable 'h'.

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

Add '6h' to each side of the equation.
-15 + -3h + 6h = -5 + -6h + 6h

Combine like terms: -3h + 6h = 3h
-15 + 3h = -5 + -6h + 6h

Combine like terms: -6h + 6h = 0
-15 + 3h = -5 + 0
-15 + 3h = -5

Add '15' to each side of the equation.
-15 + 15 + 3h = -5 + 15

Combine like terms: -15 + 15 = 0
0 + 3h = -5 + 15
3h = -5 + 15

Combine like terms: -5 + 15 = 10
3h = 10

Divide each side by '3'.
h = 3.333333333

Simplifying
h = 3.333333333

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