6n+3+2n-5=4n-6+2n-7+n

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Solution for 6n+3+2n-5=4n-6+2n-7+n equation:


Simplifying
6n + 3 + 2n + -5 = 4n + -6 + 2n + -7 + n

Reorder the terms:
3 + -5 + 6n + 2n = 4n + -6 + 2n + -7 + n

Combine like terms: 3 + -5 = -2
-2 + 6n + 2n = 4n + -6 + 2n + -7 + n

Combine like terms: 6n + 2n = 8n
-2 + 8n = 4n + -6 + 2n + -7 + n

Reorder the terms:
-2 + 8n = -6 + -7 + 4n + 2n + n

Combine like terms: -6 + -7 = -13
-2 + 8n = -13 + 4n + 2n + n

Combine like terms: 4n + 2n = 6n
-2 + 8n = -13 + 6n + n

Combine like terms: 6n + n = 7n
-2 + 8n = -13 + 7n

Solving
-2 + 8n = -13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-2 + 8n + -7n = -13 + 7n + -7n

Combine like terms: 8n + -7n = 1n
-2 + 1n = -13 + 7n + -7n

Combine like terms: 7n + -7n = 0
-2 + 1n = -13 + 0
-2 + 1n = -13

Add '2' to each side of the equation.
-2 + 2 + 1n = -13 + 2

Combine like terms: -2 + 2 = 0
0 + 1n = -13 + 2
1n = -13 + 2

Combine like terms: -13 + 2 = -11
1n = -11

Divide each side by '1'.
n = -11

Simplifying
n = -11

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