3(3+h)=4(h+9)

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Solution for 3(3+h)=4(h+9) equation: 


Simplifying
3(3 + h) = 4(h + 9)
(3 * 3 + h * 3) = 4(h + 9)
(9 + 3h) = 4(h + 9)

Reorder the terms:
9 + 3h = 4(9 + h)
9 + 3h = (9 * 4 + h * 4)
9 + 3h = (36 + 4h)

Solving
9 + 3h = 36 + 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.
9 + 3h + -4h = 36 + 4h + -4h

Combine like terms: 3h + -4h = -1h
9 + -1h = 36 + 4h + -4h

Combine like terms: 4h + -4h = 0
9 + -1h = 36 + 0
9 + -1h = 36

Add '-9' to each side of the equation.
9 + -9 + -1h = 36 + -9

Combine like terms: 9 + -9 = 0
0 + -1h = 36 + -9
-1h = 36 + -9

Combine like terms: 36 + -9 = 27
-1h = 27

Divide each side by '-1'.
h = -27

Simplifying
h = -27

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