57-14n=2-(9+6n)

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Solution for 57-14n=2-(9+6n) equation:


Simplifying
57 + -14n = 2 + -1(9 + 6n)
57 + -14n = 2 + (9 * -1 + 6n * -1)
57 + -14n = 2 + (-9 + -6n)

Combine like terms: 2 + -9 = -7
57 + -14n = -7 + -6n

Solving
57 + -14n = -7 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
57 + -14n + 6n = -7 + -6n + 6n

Combine like terms: -14n + 6n = -8n
57 + -8n = -7 + -6n + 6n

Combine like terms: -6n + 6n = 0
57 + -8n = -7 + 0
57 + -8n = -7

Add '-57' to each side of the equation.
57 + -57 + -8n = -7 + -57

Combine like terms: 57 + -57 = 0
0 + -8n = -7 + -57
-8n = -7 + -57

Combine like terms: -7 + -57 = -64
-8n = -64

Divide each side by '-8'.
n = 8

Simplifying
n = 8

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