3(n+6)=5(n-4)

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Solution for 3(n+6)=5(n-4) equation:


Simplifying
3(n + 6) = 5(n + -4)

Reorder the terms:
3(6 + n) = 5(n + -4)
(6 * 3 + n * 3) = 5(n + -4)
(18 + 3n) = 5(n + -4)

Reorder the terms:
18 + 3n = 5(-4 + n)
18 + 3n = (-4 * 5 + n * 5)
18 + 3n = (-20 + 5n)

Solving
18 + 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.
18 + 3n + -5n = -20 + 5n + -5n

Combine like terms: 3n + -5n = -2n
18 + -2n = -20 + 5n + -5n

Combine like terms: 5n + -5n = 0
18 + -2n = -20 + 0
18 + -2n = -20

Add '-18' to each side of the equation.
18 + -18 + -2n = -20 + -18

Combine like terms: 18 + -18 = 0
0 + -2n = -20 + -18
-2n = -20 + -18

Combine like terms: -20 + -18 = -38
-2n = -38

Divide each side by '-2'.
n = 19

Simplifying
n = 19

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