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

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


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

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

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + -1n = 3 + 8

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

Combine like terms: 3 + 8 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11

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