8-3(n-1)=5n+3-2n

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Solution for 8-3(n-1)=5n+3-2n equation: 


Simplifying
8 + -3(n + -1) = 5n + 3 + -2n

Reorder the terms:
8 + -3(-1 + n) = 5n + 3 + -2n
8 + (-1 * -3 + n * -3) = 5n + 3 + -2n
8 + (3 + -3n) = 5n + 3 + -2n

Combine like terms: 8 + 3 = 11
11 + -3n = 5n + 3 + -2n

Reorder the terms:
11 + -3n = 3 + 5n + -2n

Combine like terms: 5n + -2n = 3n
11 + -3n = 3 + 3n

Solving
11 + -3n = 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.
11 + -3n + -3n = 3 + 3n + -3n

Combine like terms: -3n + -3n = -6n
11 + -6n = 3 + 3n + -3n

Combine like terms: 3n + -3n = 0
11 + -6n = 3 + 0
11 + -6n = 3

Add '-11' to each side of the equation.
11 + -11 + -6n = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -6n = 3 + -11
-6n = 3 + -11

Combine like terms: 3 + -11 = -8
-6n = -8

Divide each side by '-6'.
n = 1.333333333

Simplifying
n = 1.333333333

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