6(6n+10)-6=2(11n-1)

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Solution for 6(6n+10)-6=2(11n-1) equation:


Simplifying
6(6n + 10) + -6 = 2(11n + -1)

Reorder the terms:
6(10 + 6n) + -6 = 2(11n + -1)
(10 * 6 + 6n * 6) + -6 = 2(11n + -1)
(60 + 36n) + -6 = 2(11n + -1)

Reorder the terms:
60 + -6 + 36n = 2(11n + -1)

Combine like terms: 60 + -6 = 54
54 + 36n = 2(11n + -1)

Reorder the terms:
54 + 36n = 2(-1 + 11n)
54 + 36n = (-1 * 2 + 11n * 2)
54 + 36n = (-2 + 22n)

Solving
54 + 36n = -2 + 22n

Solving for variable 'n'.

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

Add '-22n' to each side of the equation.
54 + 36n + -22n = -2 + 22n + -22n

Combine like terms: 36n + -22n = 14n
54 + 14n = -2 + 22n + -22n

Combine like terms: 22n + -22n = 0
54 + 14n = -2 + 0
54 + 14n = -2

Add '-54' to each side of the equation.
54 + -54 + 14n = -2 + -54

Combine like terms: 54 + -54 = 0
0 + 14n = -2 + -54
14n = -2 + -54

Combine like terms: -2 + -54 = -56
14n = -56

Divide each side by '14'.
n = -4

Simplifying
n = -4

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