-7+n=-3(n+1)+5n

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Solution for -7+n=-3(n+1)+5n equation:


Simplifying
-7 + n = -3(n + 1) + 5n

Reorder the terms:
-7 + n = -3(1 + n) + 5n
-7 + n = (1 * -3 + n * -3) + 5n
-7 + n = (-3 + -3n) + 5n

Combine like terms: -3n + 5n = 2n
-7 + n = -3 + 2n

Solving
-7 + n = -3 + 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.
-7 + n + -2n = -3 + 2n + -2n

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

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

Add '7' to each side of the equation.
-7 + 7 + -1n = -3 + 7

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

Combine like terms: -3 + 7 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4

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