3(3h-1)=4(h+3)

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Solution for 3(3h-1)=4(h+3) equation:


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

Reorder the terms:
3(-1 + 3h) = 4(h + 3)
(-1 * 3 + 3h * 3) = 4(h + 3)
(-3 + 9h) = 4(h + 3)

Reorder the terms:
-3 + 9h = 4(3 + h)
-3 + 9h = (3 * 4 + h * 4)
-3 + 9h = (12 + 4h)

Solving
-3 + 9h = 12 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
-3 + 9h + -4h = 12 + 4h + -4h

Combine like terms: 9h + -4h = 5h
-3 + 5h = 12 + 4h + -4h

Combine like terms: 4h + -4h = 0
-3 + 5h = 12 + 0
-3 + 5h = 12

Add '3' to each side of the equation.
-3 + 3 + 5h = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 5h = 12 + 3
5h = 12 + 3

Combine like terms: 12 + 3 = 15
5h = 15

Divide each side by '5'.
h = 3

Simplifying
h = 3

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