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

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


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

Reorder the terms:
5(-9 + -2n) = 18 + -12(4 + n)
(-9 * 5 + -2n * 5) = 18 + -12(4 + n)
(-45 + -10n) = 18 + -12(4 + n)
-45 + -10n = 18 + (4 * -12 + n * -12)
-45 + -10n = 18 + (-48 + -12n)

Combine like terms: 18 + -48 = -30
-45 + -10n = -30 + -12n

Solving
-45 + -10n = -30 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
-45 + -10n + 12n = -30 + -12n + 12n

Combine like terms: -10n + 12n = 2n
-45 + 2n = -30 + -12n + 12n

Combine like terms: -12n + 12n = 0
-45 + 2n = -30 + 0
-45 + 2n = -30

Add '45' to each side of the equation.
-45 + 45 + 2n = -30 + 45

Combine like terms: -45 + 45 = 0
0 + 2n = -30 + 45
2n = -30 + 45

Combine like terms: -30 + 45 = 15
2n = 15

Divide each side by '2'.
n = 7.5

Simplifying
n = 7.5

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