n+4=6n-36

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Solution for n+4=6n-36 equation:


Simplifying
n + 4 = 6n + -36

Reorder the terms:
4 + n = 6n + -36

Reorder the terms:
4 + n = -36 + 6n

Solving
4 + n = -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.
4 + n + -6n = -36 + 6n + -6n

Combine like terms: n + -6n = -5n
4 + -5n = -36 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + -5n = -36 + 0
4 + -5n = -36

Add '-4' to each side of the equation.
4 + -4 + -5n = -36 + -4

Combine like terms: 4 + -4 = 0
0 + -5n = -36 + -4
-5n = -36 + -4

Combine like terms: -36 + -4 = -40
-5n = -40

Divide each side by '-5'.
n = 8

Simplifying
n = 8

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