3(2n-3)-n=-2(n-4)+7n

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Solution for 3(2n-3)-n=-2(n-4)+7n equation: 


Simplifying
3(2n + -3) + -1n = -2(n + -4) + 7n

Reorder the terms:
3(-3 + 2n) + -1n = -2(n + -4) + 7n
(-3 * 3 + 2n * 3) + -1n = -2(n + -4) + 7n
(-9 + 6n) + -1n = -2(n + -4) + 7n

Combine like terms: 6n + -1n = 5n
-9 + 5n = -2(n + -4) + 7n

Reorder the terms:
-9 + 5n = -2(-4 + n) + 7n
-9 + 5n = (-4 * -2 + n * -2) + 7n
-9 + 5n = (8 + -2n) + 7n

Combine like terms: -2n + 7n = 5n
-9 + 5n = 8 + 5n

Add '-5n' to each side of the equation.
-9 + 5n + -5n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
-9 + 0 = 8 + 5n + -5n
-9 = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
-9 = 8 + 0
-9 = 8

Solving
-9 = 8

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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