3(n+3)+-2n+2(n+4)=65

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Solution for 3(n+3)+-2n+2(n+4)=65 equation:


Simplifying
3(n + 3) + -2n + 2(n + 4) = 65

Reorder the terms:
3(3 + n) + -2n + 2(n + 4) = 65
(3 * 3 + n * 3) + -2n + 2(n + 4) = 65
(9 + 3n) + -2n + 2(n + 4) = 65

Reorder the terms:
9 + 3n + -2n + 2(4 + n) = 65
9 + 3n + -2n + (4 * 2 + n * 2) = 65
9 + 3n + -2n + (8 + 2n) = 65

Reorder the terms:
9 + 8 + 3n + -2n + 2n = 65

Combine like terms: 9 + 8 = 17
17 + 3n + -2n + 2n = 65

Combine like terms: 3n + -2n = 1n
17 + 1n + 2n = 65

Combine like terms: 1n + 2n = 3n
17 + 3n = 65

Solving
17 + 3n = 65

Solving for variable 'n'.

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

Add '-17' to each side of the equation.
17 + -17 + 3n = 65 + -17

Combine like terms: 17 + -17 = 0
0 + 3n = 65 + -17
3n = 65 + -17

Combine like terms: 65 + -17 = 48
3n = 48

Divide each side by '3'.
n = 16

Simplifying
n = 16

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