7(-2n-2)=38-n

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Solution for 7(-2n-2)=38-n equation: 


Simplifying
7(-2n + -2) = 38 + -1n

Reorder the terms:
7(-2 + -2n) = 38 + -1n
(-2 * 7 + -2n * 7) = 38 + -1n
(-14 + -14n) = 38 + -1n

Solving
-14 + -14n = 38 + -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.
-14 + -14n + n = 38 + -1n + n

Combine like terms: -14n + n = -13n
-14 + -13n = 38 + -1n + n

Combine like terms: -1n + n = 0
-14 + -13n = 38 + 0
-14 + -13n = 38

Add '14' to each side of the equation.
-14 + 14 + -13n = 38 + 14

Combine like terms: -14 + 14 = 0
0 + -13n = 38 + 14
-13n = 38 + 14

Combine like terms: 38 + 14 = 52
-13n = 52

Divide each side by '-13'.
n = -4

Simplifying
n = -4

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