6n+3=n-7

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


Simplifying
6n + 3 = n + -7

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

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

Solving
3 + 6n = -7 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
3 + 6n + -1n = -7 + n + -1n

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

Combine like terms: n + -1n = 0
3 + 5n = -7 + 0
3 + 5n = -7

Add '-3' to each side of the equation.
3 + -3 + 5n = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = -7 + -3
5n = -7 + -3

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

Divide each side by '5'.
n = -2

Simplifying
n = -2

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