(5n-2)-(3n+8)=0

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Solution for (5n-2)-(3n+8)=0 equation:


Simplifying
(5n + -2) + -1(3n + 8) = 0

Reorder the terms:
(-2 + 5n) + -1(3n + 8) = 0

Remove parenthesis around (-2 + 5n)
-2 + 5n + -1(3n + 8) = 0

Reorder the terms:
-2 + 5n + -1(8 + 3n) = 0
-2 + 5n + (8 * -1 + 3n * -1) = 0
-2 + 5n + (-8 + -3n) = 0

Reorder the terms:
-2 + -8 + 5n + -3n = 0

Combine like terms: -2 + -8 = -10
-10 + 5n + -3n = 0

Combine like terms: 5n + -3n = 2n
-10 + 2n = 0

Solving
-10 + 2n = 0

Solving for variable 'n'.

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

Add '10' to each side of the equation.
-10 + 10 + 2n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = 0 + 10
2n = 0 + 10

Combine like terms: 0 + 10 = 10
2n = 10

Divide each side by '2'.
n = 5

Simplifying
n = 5

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