5(n-6)=-36+6n

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Solution for 5(n-6)=-36+6n equation:


Simplifying
5(n + -6) = -36 + 6n

Reorder the terms:
5(-6 + n) = -36 + 6n
(-6 * 5 + n * 5) = -36 + 6n
(-30 + 5n) = -36 + 6n

Solving
-30 + 5n = -36 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-30 + 5n + -6n = -36 + 6n + -6n

Combine like terms: 5n + -6n = -1n
-30 + -1n = -36 + 6n + -6n

Combine like terms: 6n + -6n = 0
-30 + -1n = -36 + 0
-30 + -1n = -36

Add '30' to each side of the equation.
-30 + 30 + -1n = -36 + 30

Combine like terms: -30 + 30 = 0
0 + -1n = -36 + 30
-1n = -36 + 30

Combine like terms: -36 + 30 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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