7n-2(2n+8)=-3n-8

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Solution for 7n-2(2n+8)=-3n-8 equation: 


Simplifying
7n + -2(2n + 8) = -3n + -8

Reorder the terms:
7n + -2(8 + 2n) = -3n + -8
7n + (8 * -2 + 2n * -2) = -3n + -8
7n + (-16 + -4n) = -3n + -8

Reorder the terms:
-16 + 7n + -4n = -3n + -8

Combine like terms: 7n + -4n = 3n
-16 + 3n = -3n + -8

Reorder the terms:
-16 + 3n = -8 + -3n

Solving
-16 + 3n = -8 + -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.
-16 + 3n + 3n = -8 + -3n + 3n

Combine like terms: 3n + 3n = 6n
-16 + 6n = -8 + -3n + 3n

Combine like terms: -3n + 3n = 0
-16 + 6n = -8 + 0
-16 + 6n = -8

Add '16' to each side of the equation.
-16 + 16 + 6n = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 6n = -8 + 16
6n = -8 + 16

Combine like terms: -8 + 16 = 8
6n = 8

Divide each side by '6'.
n = 1.333333333

Simplifying
n = 1.333333333

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