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

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


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

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

Combine like terms: -3 + -2 = -5
-5 + -2n = 8 + -1(5n + -5)

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

Combine like terms: 8 + 5 = 13
-5 + -2n = 13 + -5n

Solving
-5 + -2n = 13 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-5 + -2n + 5n = 13 + -5n + 5n

Combine like terms: -2n + 5n = 3n
-5 + 3n = 13 + -5n + 5n

Combine like terms: -5n + 5n = 0
-5 + 3n = 13 + 0
-5 + 3n = 13

Add '5' to each side of the equation.
-5 + 5 + 3n = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3n = 13 + 5
3n = 13 + 5

Combine like terms: 13 + 5 = 18
3n = 18

Divide each side by '3'.
n = 6

Simplifying
n = 6

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