2(n+2)=3n-13

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Solution for 2(n+2)=3n-13 equation:


Simplifying
2(n + 2) = 3n + -13

Reorder the terms:
2(2 + n) = 3n + -13
(2 * 2 + n * 2) = 3n + -13
(4 + 2n) = 3n + -13

Reorder the terms:
4 + 2n = -13 + 3n

Solving
4 + 2n = -13 + 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.
4 + 2n + -3n = -13 + 3n + -3n

Combine like terms: 2n + -3n = -1n
4 + -1n = -13 + 3n + -3n

Combine like terms: 3n + -3n = 0
4 + -1n = -13 + 0
4 + -1n = -13

Add '-4' to each side of the equation.
4 + -4 + -1n = -13 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = -13 + -4
-1n = -13 + -4

Combine like terms: -13 + -4 = -17
-1n = -17

Divide each side by '-1'.
n = 17

Simplifying
n = 17

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