14+3n=5(n-4)

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Solution for 14+3n=5(n-4) equation:


Simplifying
14 + 3n = 5(n + -4)

Reorder the terms:
14 + 3n = 5(-4 + n)
14 + 3n = (-4 * 5 + n * 5)
14 + 3n = (-20 + 5n)

Solving
14 + 3n = -20 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
14 + 3n + -5n = -20 + 5n + -5n

Combine like terms: 3n + -5n = -2n
14 + -2n = -20 + 5n + -5n

Combine like terms: 5n + -5n = 0
14 + -2n = -20 + 0
14 + -2n = -20

Add '-14' to each side of the equation.
14 + -14 + -2n = -20 + -14

Combine like terms: 14 + -14 = 0
0 + -2n = -20 + -14
-2n = -20 + -14

Combine like terms: -20 + -14 = -34
-2n = -34

Divide each side by '-2'.
n = 17

Simplifying
n = 17

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