3n+5=n-10

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


Simplifying
3n + 5 = n + -10

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

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

Solving
5 + 3n = -10 + 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.
5 + 3n + -1n = -10 + n + -1n

Combine like terms: 3n + -1n = 2n
5 + 2n = -10 + n + -1n

Combine like terms: n + -1n = 0
5 + 2n = -10 + 0
5 + 2n = -10

Add '-5' to each side of the equation.
5 + -5 + 2n = -10 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = -10 + -5
2n = -10 + -5

Combine like terms: -10 + -5 = -15
2n = -15

Divide each side by '2'.
n = -7.5

Simplifying
n = -7.5

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