12(n+5)-10=11n+2

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Solution for 12(n+5)-10=11n+2 equation:


Simplifying
12(n + 5) + -10 = 11n + 2

Reorder the terms:
12(5 + n) + -10 = 11n + 2
(5 * 12 + n * 12) + -10 = 11n + 2
(60 + 12n) + -10 = 11n + 2

Reorder the terms:
60 + -10 + 12n = 11n + 2

Combine like terms: 60 + -10 = 50
50 + 12n = 11n + 2

Reorder the terms:
50 + 12n = 2 + 11n

Solving
50 + 12n = 2 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
50 + 12n + -11n = 2 + 11n + -11n

Combine like terms: 12n + -11n = 1n
50 + 1n = 2 + 11n + -11n

Combine like terms: 11n + -11n = 0
50 + 1n = 2 + 0
50 + 1n = 2

Add '-50' to each side of the equation.
50 + -50 + 1n = 2 + -50

Combine like terms: 50 + -50 = 0
0 + 1n = 2 + -50
1n = 2 + -50

Combine like terms: 2 + -50 = -48
1n = -48

Divide each side by '1'.
n = -48

Simplifying
n = -48

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