12(4+h)+5(-2n-9)=18

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Solution for 12(4+h)+5(-2n-9)=18 equation:


Simplifying
12(4 + h) + 5(-2n + -9) = 18
(4 * 12 + h * 12) + 5(-2n + -9) = 18
(48 + 12h) + 5(-2n + -9) = 18

Reorder the terms:
48 + 12h + 5(-9 + -2n) = 18
48 + 12h + (-9 * 5 + -2n * 5) = 18
48 + 12h + (-45 + -10n) = 18

Reorder the terms:
48 + -45 + 12h + -10n = 18

Combine like terms: 48 + -45 = 3
3 + 12h + -10n = 18

Solving
3 + 12h + -10n = 18

Solving for variable 'h'.

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

Add '-3' to each side of the equation.
3 + 12h + -3 + -10n = 18 + -3

Reorder the terms:
3 + -3 + 12h + -10n = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 12h + -10n = 18 + -3
12h + -10n = 18 + -3

Combine like terms: 18 + -3 = 15
12h + -10n = 15

Add '10n' to each side of the equation.
12h + -10n + 10n = 15 + 10n

Combine like terms: -10n + 10n = 0
12h + 0 = 15 + 10n
12h = 15 + 10n

Divide each side by '12'.
h = 1.25 + 0.8333333333n

Simplifying
h = 1.25 + 0.8333333333n

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