3(n+4)=5(n-1)

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Solution for 3(n+4)=5(n-1) equation:


Simplifying
3(n + 4) = 5(n + -1)

Reorder the terms:
3(4 + n) = 5(n + -1)
(4 * 3 + n * 3) = 5(n + -1)
(12 + 3n) = 5(n + -1)

Reorder the terms:
12 + 3n = 5(-1 + n)
12 + 3n = (-1 * 5 + n * 5)
12 + 3n = (-5 + 5n)

Solving
12 + 3n = -5 + 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.
12 + 3n + -5n = -5 + 5n + -5n

Combine like terms: 3n + -5n = -2n
12 + -2n = -5 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + -2n = -5 + 0
12 + -2n = -5

Add '-12' to each side of the equation.
12 + -12 + -2n = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = -5 + -12
-2n = -5 + -12

Combine like terms: -5 + -12 = -17
-2n = -17

Divide each side by '-2'.
n = 8.5

Simplifying
n = 8.5

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