3(n+4)=5(n-2)

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Solution for 3(n+4)=5(n-2) equation:


Simplifying
3(n + 4) = 5(n + -2)

Reorder the terms:
3(4 + n) = 5(n + -2)
(4 * 3 + n * 3) = 5(n + -2)
(12 + 3n) = 5(n + -2)

Reorder the terms:
12 + 3n = 5(-2 + n)
12 + 3n = (-2 * 5 + n * 5)
12 + 3n = (-10 + 5n)

Solving
12 + 3n = -10 + 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 = -10 + 5n + -5n

Combine like terms: 3n + -5n = -2n
12 + -2n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + -2n = -10 + 0
12 + -2n = -10

Add '-12' to each side of the equation.
12 + -12 + -2n = -10 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = -10 + -12
-2n = -10 + -12

Combine like terms: -10 + -12 = -22
-2n = -22

Divide each side by '-2'.
n = 11

Simplifying
n = 11

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