5-(n+3)=-1+2(n-3)

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Solution for 5-(n+3)=-1+2(n-3) equation:


Simplifying
5 + -1(n + 3) = -1 + 2(n + -3)

Reorder the terms:
5 + -1(3 + n) = -1 + 2(n + -3)
5 + (3 * -1 + n * -1) = -1 + 2(n + -3)
5 + (-3 + -1n) = -1 + 2(n + -3)

Combine like terms: 5 + -3 = 2
2 + -1n = -1 + 2(n + -3)

Reorder the terms:
2 + -1n = -1 + 2(-3 + n)
2 + -1n = -1 + (-3 * 2 + n * 2)
2 + -1n = -1 + (-6 + 2n)

Combine like terms: -1 + -6 = -7
2 + -1n = -7 + 2n

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

Solving for variable 'n'.

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

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

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

Combine like terms: 2n + -2n = 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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