3n+1=-n+7

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Solution for 3n+1=-n+7 equation:


Simplifying
3n + 1 = -1n + 7

Reorder the terms:
1 + 3n = -1n + 7

Reorder the terms:
1 + 3n = 7 + -1n

Solving
1 + 3n = 7 + -1n

Solving for variable 'n'.

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

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

Combine like terms: 3n + n = 4n
1 + 4n = 7 + -1n + n

Combine like terms: -1n + n = 0
1 + 4n = 7 + 0
1 + 4n = 7

Add '-1' to each side of the equation.
1 + -1 + 4n = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 7 + -1
4n = 7 + -1

Combine like terms: 7 + -1 = 6
4n = 6

Divide each side by '4'.
n = 1.5

Simplifying
n = 1.5

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