9-(2n-8)=2-3n

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Solution for 9-(2n-8)=2-3n equation:


Simplifying
9 + -1(2n + -8) = 2 + -3n

Reorder the terms:
9 + -1(-8 + 2n) = 2 + -3n
9 + (-8 * -1 + 2n * -1) = 2 + -3n
9 + (8 + -2n) = 2 + -3n

Combine like terms: 9 + 8 = 17
17 + -2n = 2 + -3n

Solving
17 + -2n = 2 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
17 + -2n + 3n = 2 + -3n + 3n

Combine like terms: -2n + 3n = 1n
17 + 1n = 2 + -3n + 3n

Combine like terms: -3n + 3n = 0
17 + 1n = 2 + 0
17 + 1n = 2

Add '-17' to each side of the equation.
17 + -17 + 1n = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 1n = 2 + -17
1n = 2 + -17

Combine like terms: 2 + -17 = -15
1n = -15

Divide each side by '1'.
n = -15

Simplifying
n = -15

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