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

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


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

Reorder the terms:
-5(-5 + n) + 3(n + 1) = 0
(-5 * -5 + n * -5) + 3(n + 1) = 0
(25 + -5n) + 3(n + 1) = 0

Reorder the terms:
25 + -5n + 3(1 + n) = 0
25 + -5n + (1 * 3 + n * 3) = 0
25 + -5n + (3 + 3n) = 0

Reorder the terms:
25 + 3 + -5n + 3n = 0

Combine like terms: 25 + 3 = 28
28 + -5n + 3n = 0

Combine like terms: -5n + 3n = -2n
28 + -2n = 0

Solving
28 + -2n = 0

Solving for variable 'n'.

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

Add '-28' to each side of the equation.
28 + -28 + -2n = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -2n = 0 + -28
-2n = 0 + -28

Combine like terms: 0 + -28 = -28
-2n = -28

Divide each side by '-2'.
n = 14

Simplifying
n = 14

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