2(n+4)=3n-1

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Solution for 2(n+4)=3n-1 equation:


Simplifying
2(n + 4) = 3n + -1

Reorder the terms:
2(4 + n) = 3n + -1
(4 * 2 + n * 2) = 3n + -1
(8 + 2n) = 3n + -1

Reorder the terms:
8 + 2n = -1 + 3n

Solving
8 + 2n = -1 + 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.
8 + 2n + -3n = -1 + 3n + -3n

Combine like terms: 2n + -3n = -1n
8 + -1n = -1 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = -1 + 0
8 + -1n = -1

Add '-8' to each side of the equation.
8 + -8 + -1n = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = -1 + -8
-1n = -1 + -8

Combine like terms: -1 + -8 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9

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