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

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


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

Remove parenthesis around (4n)
12 * 4n + 5(-2n + -9) = 18

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

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

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

Combine like terms: 48n + -10n = 38n
-45 + 38n = 18

Solving
-45 + 38n = 18

Solving for variable 'n'.

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

Add '45' to each side of the equation.
-45 + 45 + 38n = 18 + 45

Combine like terms: -45 + 45 = 0
0 + 38n = 18 + 45
38n = 18 + 45

Combine like terms: 18 + 45 = 63
38n = 63

Divide each side by '38'.
n = 1.657894737

Simplifying
n = 1.657894737

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