8-2(6n+3)=146+12n

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Solution for 8-2(6n+3)=146+12n equation: 


Simplifying
8 + -2(6n + 3) = 146 + 12n

Reorder the terms:
8 + -2(3 + 6n) = 146 + 12n
8 + (3 * -2 + 6n * -2) = 146 + 12n
8 + (-6 + -12n) = 146 + 12n

Combine like terms: 8 + -6 = 2
2 + -12n = 146 + 12n

Solving
2 + -12n = 146 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
2 + -12n + -12n = 146 + 12n + -12n

Combine like terms: -12n + -12n = -24n
2 + -24n = 146 + 12n + -12n

Combine like terms: 12n + -12n = 0
2 + -24n = 146 + 0
2 + -24n = 146

Add '-2' to each side of the equation.
2 + -2 + -24n = 146 + -2

Combine like terms: 2 + -2 = 0
0 + -24n = 146 + -2
-24n = 146 + -2

Combine like terms: 146 + -2 = 144
-24n = 144

Divide each side by '-24'.
n = -6

Simplifying
n = -6

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