360=4n+6(36-n)

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Solution for 360=4n+6(36-n) equation:


Simplifying
360 = 4n + 6(36 + -1n)
360 = 4n + (36 * 6 + -1n * 6)
360 = 4n + (216 + -6n)

Reorder the terms:
360 = 216 + 4n + -6n

Combine like terms: 4n + -6n = -2n
360 = 216 + -2n

Solving
360 = 216 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
360 + 2n = 216 + -2n + 2n

Combine like terms: -2n + 2n = 0
360 + 2n = 216 + 0
360 + 2n = 216

Add '-360' to each side of the equation.
360 + -360 + 2n = 216 + -360

Combine like terms: 360 + -360 = 0
0 + 2n = 216 + -360
2n = 216 + -360

Combine like terms: 216 + -360 = -144
2n = -144

Divide each side by '2'.
n = -72

Simplifying
n = -72

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