5(2n+5)=-13n+2

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Solution for 5(2n+5)=-13n+2 equation:


Simplifying
5(2n + 5) = -13n + 2

Reorder the terms:
5(5 + 2n) = -13n + 2
(5 * 5 + 2n * 5) = -13n + 2
(25 + 10n) = -13n + 2

Reorder the terms:
25 + 10n = 2 + -13n

Solving
25 + 10n = 2 + -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
25 + 10n + 13n = 2 + -13n + 13n

Combine like terms: 10n + 13n = 23n
25 + 23n = 2 + -13n + 13n

Combine like terms: -13n + 13n = 0
25 + 23n = 2 + 0
25 + 23n = 2

Add '-25' to each side of the equation.
25 + -25 + 23n = 2 + -25

Combine like terms: 25 + -25 = 0
0 + 23n = 2 + -25
23n = 2 + -25

Combine like terms: 2 + -25 = -23
23n = -23

Divide each side by '23'.
n = -1

Simplifying
n = -1

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