31-3n=4(n+6)

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Solution for 31-3n=4(n+6) equation:


Simplifying
31 + -3n = 4(n + 6)

Reorder the terms:
31 + -3n = 4(6 + n)
31 + -3n = (6 * 4 + n * 4)
31 + -3n = (24 + 4n)

Solving
31 + -3n = 24 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
31 + -3n + -4n = 24 + 4n + -4n

Combine like terms: -3n + -4n = -7n
31 + -7n = 24 + 4n + -4n

Combine like terms: 4n + -4n = 0
31 + -7n = 24 + 0
31 + -7n = 24

Add '-31' to each side of the equation.
31 + -31 + -7n = 24 + -31

Combine like terms: 31 + -31 = 0
0 + -7n = 24 + -31
-7n = 24 + -31

Combine like terms: 24 + -31 = -7
-7n = -7

Divide each side by '-7'.
n = 1

Simplifying
n = 1

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