31-3n=-2(7n+1)

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Solution for 31-3n=-2(7n+1) equation:


Simplifying
31 + -3n = -2(7n + 1)

Reorder the terms:
31 + -3n = -2(1 + 7n)
31 + -3n = (1 * -2 + 7n * -2)
31 + -3n = (-2 + -14n)

Solving
31 + -3n = -2 + -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
31 + -3n + 14n = -2 + -14n + 14n

Combine like terms: -3n + 14n = 11n
31 + 11n = -2 + -14n + 14n

Combine like terms: -14n + 14n = 0
31 + 11n = -2 + 0
31 + 11n = -2

Add '-31' to each side of the equation.
31 + -31 + 11n = -2 + -31

Combine like terms: 31 + -31 = 0
0 + 11n = -2 + -31
11n = -2 + -31

Combine like terms: -2 + -31 = -33
11n = -33

Divide each side by '11'.
n = -3

Simplifying
n = -3

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