7n-2(n+5)=3n-16

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Solution for 7n-2(n+5)=3n-16 equation: 


Simplifying
7n + -2(n + 5) = 3n + -16

Reorder the terms:
7n + -2(5 + n) = 3n + -16
7n + (5 * -2 + n * -2) = 3n + -16
7n + (-10 + -2n) = 3n + -16

Reorder the terms:
-10 + 7n + -2n = 3n + -16

Combine like terms: 7n + -2n = 5n
-10 + 5n = 3n + -16

Reorder the terms:
-10 + 5n = -16 + 3n

Solving
-10 + 5n = -16 + 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.
-10 + 5n + -3n = -16 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-10 + 2n = -16 + 3n + -3n

Combine like terms: 3n + -3n = 0
-10 + 2n = -16 + 0
-10 + 2n = -16

Add '10' to each side of the equation.
-10 + 10 + 2n = -16 + 10

Combine like terms: -10 + 10 = 0
0 + 2n = -16 + 10
2n = -16 + 10

Combine like terms: -16 + 10 = -6
2n = -6

Divide each side by '2'.
n = -3

Simplifying
n = -3

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