7(h+2)=9(h+4)-24

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Solution for 7(h+2)=9(h+4)-24 equation:


Simplifying
7(h + 2) = 9(h + 4) + -24

Reorder the terms:
7(2 + h) = 9(h + 4) + -24
(2 * 7 + h * 7) = 9(h + 4) + -24
(14 + 7h) = 9(h + 4) + -24

Reorder the terms:
14 + 7h = 9(4 + h) + -24
14 + 7h = (4 * 9 + h * 9) + -24
14 + 7h = (36 + 9h) + -24

Reorder the terms:
14 + 7h = 36 + -24 + 9h

Combine like terms: 36 + -24 = 12
14 + 7h = 12 + 9h

Solving
14 + 7h = 12 + 9h

Solving for variable 'h'.

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

Add '-9h' to each side of the equation.
14 + 7h + -9h = 12 + 9h + -9h

Combine like terms: 7h + -9h = -2h
14 + -2h = 12 + 9h + -9h

Combine like terms: 9h + -9h = 0
14 + -2h = 12 + 0
14 + -2h = 12

Add '-14' to each side of the equation.
14 + -14 + -2h = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -2h = 12 + -14
-2h = 12 + -14

Combine like terms: 12 + -14 = -2
-2h = -2

Divide each side by '-2'.
h = 1

Simplifying
h = 1

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