5(2n+4)-6=3(n-2)-3n

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Solution for 5(2n+4)-6=3(n-2)-3n equation:


Simplifying
5(2n + 4) + -6 = 3(n + -2) + -3n

Reorder the terms:
5(4 + 2n) + -6 = 3(n + -2) + -3n
(4 * 5 + 2n * 5) + -6 = 3(n + -2) + -3n
(20 + 10n) + -6 = 3(n + -2) + -3n

Reorder the terms:
20 + -6 + 10n = 3(n + -2) + -3n

Combine like terms: 20 + -6 = 14
14 + 10n = 3(n + -2) + -3n

Reorder the terms:
14 + 10n = 3(-2 + n) + -3n
14 + 10n = (-2 * 3 + n * 3) + -3n
14 + 10n = (-6 + 3n) + -3n

Combine like terms: 3n + -3n = 0
14 + 10n = -6 + 0
14 + 10n = -6

Solving
14 + 10n = -6

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + 10n = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 10n = -6 + -14
10n = -6 + -14

Combine like terms: -6 + -14 = -20
10n = -20

Divide each side by '10'.
n = -2

Simplifying
n = -2

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