3(1+5n)=-n-13

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Solution for 3(1+5n)=-n-13 equation:


Simplifying
3(1 + 5n) = -1n + -13
(1 * 3 + 5n * 3) = -1n + -13
(3 + 15n) = -1n + -13

Reorder the terms:
3 + 15n = -13 + -1n

Solving
3 + 15n = -13 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
3 + 15n + n = -13 + -1n + n

Combine like terms: 15n + n = 16n
3 + 16n = -13 + -1n + n

Combine like terms: -1n + n = 0
3 + 16n = -13 + 0
3 + 16n = -13

Add '-3' to each side of the equation.
3 + -3 + 16n = -13 + -3

Combine like terms: 3 + -3 = 0
0 + 16n = -13 + -3
16n = -13 + -3

Combine like terms: -13 + -3 = -16
16n = -16

Divide each side by '16'.
n = -1

Simplifying
n = -1

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