23+6n=7(6n-2)+n

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Solution for 23+6n=7(6n-2)+n equation:


Simplifying
23 + 6n = 7(6n + -2) + n

Reorder the terms:
23 + 6n = 7(-2 + 6n) + n
23 + 6n = (-2 * 7 + 6n * 7) + n
23 + 6n = (-14 + 42n) + n

Combine like terms: 42n + n = 43n
23 + 6n = -14 + 43n

Solving
23 + 6n = -14 + 43n

Solving for variable 'n'.

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

Add '-43n' to each side of the equation.
23 + 6n + -43n = -14 + 43n + -43n

Combine like terms: 6n + -43n = -37n
23 + -37n = -14 + 43n + -43n

Combine like terms: 43n + -43n = 0
23 + -37n = -14 + 0
23 + -37n = -14

Add '-23' to each side of the equation.
23 + -23 + -37n = -14 + -23

Combine like terms: 23 + -23 = 0
0 + -37n = -14 + -23
-37n = -14 + -23

Combine like terms: -14 + -23 = -37
-37n = -37

Divide each side by '-37'.
n = 1

Simplifying
n = 1

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