-(n-5)+3(n+2)=4(n-3)-1

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Solution for -(n-5)+3(n+2)=4(n-3)-1 equation: 


Simplifying
-1(n + -5) + 3(n + 2) = 4(n + -3) + -1

Reorder the terms:
-1(-5 + n) + 3(n + 2) = 4(n + -3) + -1
(-5 * -1 + n * -1) + 3(n + 2) = 4(n + -3) + -1
(5 + -1n) + 3(n + 2) = 4(n + -3) + -1

Reorder the terms:
5 + -1n + 3(2 + n) = 4(n + -3) + -1
5 + -1n + (2 * 3 + n * 3) = 4(n + -3) + -1
5 + -1n + (6 + 3n) = 4(n + -3) + -1

Reorder the terms:
5 + 6 + -1n + 3n = 4(n + -3) + -1

Combine like terms: 5 + 6 = 11
11 + -1n + 3n = 4(n + -3) + -1

Combine like terms: -1n + 3n = 2n
11 + 2n = 4(n + -3) + -1

Reorder the terms:
11 + 2n = 4(-3 + n) + -1
11 + 2n = (-3 * 4 + n * 4) + -1
11 + 2n = (-12 + 4n) + -1

Reorder the terms:
11 + 2n = -12 + -1 + 4n

Combine like terms: -12 + -1 = -13
11 + 2n = -13 + 4n

Solving
11 + 2n = -13 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
11 + 2n + -4n = -13 + 4n + -4n

Combine like terms: 2n + -4n = -2n
11 + -2n = -13 + 4n + -4n

Combine like terms: 4n + -4n = 0
11 + -2n = -13 + 0
11 + -2n = -13

Add '-11' to each side of the equation.
11 + -11 + -2n = -13 + -11

Combine like terms: 11 + -11 = 0
0 + -2n = -13 + -11
-2n = -13 + -11

Combine like terms: -13 + -11 = -24
-2n = -24

Divide each side by '-2'.
n = 12

Simplifying
n = 12

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