3(2n+7)=-13n+2

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Solution for 3(2n+7)=-13n+2 equation:


Simplifying
3(2n + 7) = -13n + 2

Reorder the terms:
3(7 + 2n) = -13n + 2
(7 * 3 + 2n * 3) = -13n + 2
(21 + 6n) = -13n + 2

Reorder the terms:
21 + 6n = 2 + -13n

Solving
21 + 6n = 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.
21 + 6n + 13n = 2 + -13n + 13n

Combine like terms: 6n + 13n = 19n
21 + 19n = 2 + -13n + 13n

Combine like terms: -13n + 13n = 0
21 + 19n = 2 + 0
21 + 19n = 2

Add '-21' to each side of the equation.
21 + -21 + 19n = 2 + -21

Combine like terms: 21 + -21 = 0
0 + 19n = 2 + -21
19n = 2 + -21

Combine like terms: 2 + -21 = -19
19n = -19

Divide each side by '19'.
n = -1

Simplifying
n = -1

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