6n+5-7n=10-5n+3

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Solution for 6n+5-7n=10-5n+3 equation:


Simplifying
6n + 5 + -7n = 10 + -5n + 3

Reorder the terms:
5 + 6n + -7n = 10 + -5n + 3

Combine like terms: 6n + -7n = -1n
5 + -1n = 10 + -5n + 3

Reorder the terms:
5 + -1n = 10 + 3 + -5n

Combine like terms: 10 + 3 = 13
5 + -1n = 13 + -5n

Solving
5 + -1n = 13 + -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.
5 + -1n + 5n = 13 + -5n + 5n

Combine like terms: -1n + 5n = 4n
5 + 4n = 13 + -5n + 5n

Combine like terms: -5n + 5n = 0
5 + 4n = 13 + 0
5 + 4n = 13

Add '-5' to each side of the equation.
5 + -5 + 4n = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4n = 13 + -5
4n = 13 + -5

Combine like terms: 13 + -5 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2

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