5n+36=2(7n-9)

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Solution for 5n+36=2(7n-9) equation: 


Simplifying
5n + 36 = 2(7n + -9)

Reorder the terms:
36 + 5n = 2(7n + -9)

Reorder the terms:
36 + 5n = 2(-9 + 7n)
36 + 5n = (-9 * 2 + 7n * 2)
36 + 5n = (-18 + 14n)

Solving
36 + 5n = -18 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
36 + 5n + -14n = -18 + 14n + -14n

Combine like terms: 5n + -14n = -9n
36 + -9n = -18 + 14n + -14n

Combine like terms: 14n + -14n = 0
36 + -9n = -18 + 0
36 + -9n = -18

Add '-36' to each side of the equation.
36 + -36 + -9n = -18 + -36

Combine like terms: 36 + -36 = 0
0 + -9n = -18 + -36
-9n = -18 + -36

Combine like terms: -18 + -36 = -54
-9n = -54

Divide each side by '-9'.
n = 6

Simplifying
n = 6

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