3(n+5)-7n=-3n-1

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Solution for 3(n+5)-7n=-3n-1 equation: 


Simplifying
3(n + 5) + -7n = -3n + -1

Reorder the terms:
3(5 + n) + -7n = -3n + -1
(5 * 3 + n * 3) + -7n = -3n + -1
(15 + 3n) + -7n = -3n + -1

Combine like terms: 3n + -7n = -4n
15 + -4n = -3n + -1

Reorder the terms:
15 + -4n = -1 + -3n

Solving
15 + -4n = -1 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
15 + -4n + 3n = -1 + -3n + 3n

Combine like terms: -4n + 3n = -1n
15 + -1n = -1 + -3n + 3n

Combine like terms: -3n + 3n = 0
15 + -1n = -1 + 0
15 + -1n = -1

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

Combine like terms: 15 + -15 = 0
0 + -1n = -1 + -15
-1n = -1 + -15

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

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

Simplifying
n = 16

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