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

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


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

Reorder the terms:
5n + -3(-6 + n) = 2 + 3n
5n + (-6 * -3 + n * -3) = 2 + 3n
5n + (18 + -3n) = 2 + 3n

Reorder the terms:
18 + 5n + -3n = 2 + 3n

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

Solving
18 + 2n = 2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
18 + 2n + -3n = 2 + 3n + -3n

Combine like terms: 2n + -3n = -1n
18 + -1n = 2 + 3n + -3n

Combine like terms: 3n + -3n = 0
18 + -1n = 2 + 0
18 + -1n = 2

Add '-18' to each side of the equation.
18 + -18 + -1n = 2 + -18

Combine like terms: 18 + -18 = 0
0 + -1n = 2 + -18
-1n = 2 + -18

Combine like terms: 2 + -18 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16

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