7n+1=3n-2

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Solution for 7n+1=3n-2 equation:


Simplifying
7n + 1 = 3n + -2

Reorder the terms:
1 + 7n = 3n + -2

Reorder the terms:
1 + 7n = -2 + 3n

Solving
1 + 7n = -2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
1 + 7n + -3n = -2 + 3n + -3n

Combine like terms: 7n + -3n = 4n
1 + 4n = -2 + 3n + -3n

Combine like terms: 3n + -3n = 0
1 + 4n = -2 + 0
1 + 4n = -2

Add '-1' to each side of the equation.
1 + -1 + 4n = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = -2 + -1
4n = -2 + -1

Combine like terms: -2 + -1 = -3
4n = -3

Divide each side by '4'.
n = -0.75

Simplifying
n = -0.75

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