8-(n-1)+3n-7=n-3

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Solution for 8-(n-1)+3n-7=n-3 equation:


Simplifying
8 + -1(n + -1) + 3n + -7 = n + -3

Reorder the terms:
8 + -1(-1 + n) + 3n + -7 = n + -3
8 + (-1 * -1 + n * -1) + 3n + -7 = n + -3
8 + (1 + -1n) + 3n + -7 = n + -3

Reorder the terms:
8 + 1 + -7 + -1n + 3n = n + -3

Combine like terms: 8 + 1 = 9
9 + -7 + -1n + 3n = n + -3

Combine like terms: 9 + -7 = 2
2 + -1n + 3n = n + -3

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

Reorder the terms:
2 + 2n = -3 + n

Solving
2 + 2n = -3 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
2 + 2n + -1n = -3 + n + -1n

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

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

Add '-2' to each side of the equation.
2 + -2 + 1n = -3 + -2

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

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

Divide each side by '1'.
n = -5

Simplifying
n = -5

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