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

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


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

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

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

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

Solving
2 + 4n = -7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 4n + -5n = -7 + 5n + -5n

Combine like terms: 4n + -5n = -1n
2 + -1n = -7 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -1n = -7 + 0
2 + -1n = -7

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

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

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

Divide each side by '-1'.
n = 9

Simplifying
n = 9

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