2(n-1)=7-n

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Solution for 2(n-1)=7-n equation:


Simplifying
2(n + -1) = 7 + -1n

Reorder the terms:
2(-1 + n) = 7 + -1n
(-1 * 2 + n * 2) = 7 + -1n
(-2 + 2n) = 7 + -1n

Solving
-2 + 2n = 7 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-2 + 2n + n = 7 + -1n + n

Combine like terms: 2n + n = 3n
-2 + 3n = 7 + -1n + n

Combine like terms: -1n + n = 0
-2 + 3n = 7 + 0
-2 + 3n = 7

Add '2' to each side of the equation.
-2 + 2 + 3n = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 3n = 7 + 2
3n = 7 + 2

Combine like terms: 7 + 2 = 9
3n = 9

Divide each side by '3'.
n = 3

Simplifying
n = 3

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