9(n+2(n-20))=45

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Solution for 9(n+2(n-20))=45 equation:


Simplifying
9(n + 2(n + -20)) = 45

Reorder the terms:
9(n + 2(-20 + n)) = 45
9(n + (-20 * 2 + n * 2)) = 45
9(n + (-40 + 2n)) = 45

Reorder the terms:
9(-40 + n + 2n) = 45

Combine like terms: n + 2n = 3n
9(-40 + 3n) = 45
(-40 * 9 + 3n * 9) = 45
(-360 + 27n) = 45

Solving
-360 + 27n = 45

Solving for variable 'n'.

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

Add '360' to each side of the equation.
-360 + 360 + 27n = 45 + 360

Combine like terms: -360 + 360 = 0
0 + 27n = 45 + 360
27n = 45 + 360

Combine like terms: 45 + 360 = 405
27n = 405

Divide each side by '27'.
n = 15

Simplifying
n = 15

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