12(5-2n)=8(1-11n)+12n

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Solution for 12(5-2n)=8(1-11n)+12n equation:


Simplifying
12(5 + -2n) = 8(1 + -11n) + 12n
(5 * 12 + -2n * 12) = 8(1 + -11n) + 12n
(60 + -24n) = 8(1 + -11n) + 12n
60 + -24n = (1 * 8 + -11n * 8) + 12n
60 + -24n = (8 + -88n) + 12n

Combine like terms: -88n + 12n = -76n
60 + -24n = 8 + -76n

Solving
60 + -24n = 8 + -76n

Solving for variable 'n'.

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

Add '76n' to each side of the equation.
60 + -24n + 76n = 8 + -76n + 76n

Combine like terms: -24n + 76n = 52n
60 + 52n = 8 + -76n + 76n

Combine like terms: -76n + 76n = 0
60 + 52n = 8 + 0
60 + 52n = 8

Add '-60' to each side of the equation.
60 + -60 + 52n = 8 + -60

Combine like terms: 60 + -60 = 0
0 + 52n = 8 + -60
52n = 8 + -60

Combine like terms: 8 + -60 = -52
52n = -52

Divide each side by '52'.
n = -1

Simplifying
n = -1

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