-4(-n-2)-4(n+7)=n-3n

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Solution for -4(-n-2)-4(n+7)=n-3n equation:


Simplifying
-4(-1n + -2) + -4(n + 7) = n + -3n

Reorder the terms:
-4(-2 + -1n) + -4(n + 7) = n + -3n
(-2 * -4 + -1n * -4) + -4(n + 7) = n + -3n
(8 + 4n) + -4(n + 7) = n + -3n

Reorder the terms:
8 + 4n + -4(7 + n) = n + -3n
8 + 4n + (7 * -4 + n * -4) = n + -3n
8 + 4n + (-28 + -4n) = n + -3n

Reorder the terms:
8 + -28 + 4n + -4n = n + -3n

Combine like terms: 8 + -28 = -20
-20 + 4n + -4n = n + -3n

Combine like terms: 4n + -4n = 0
-20 + 0 = n + -3n
-20 = n + -3n

Combine like terms: n + -3n = -2n
-20 = -2n

Solving
-20 = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-20 + 2n = -2n + 2n

Combine like terms: -2n + 2n = 0
-20 + 2n = 0

Add '20' to each side of the equation.
-20 + 20 + 2n = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 2n = 0 + 20
2n = 0 + 20

Combine like terms: 0 + 20 = 20
2n = 20

Divide each side by '2'.
n = 10

Simplifying
n = 10

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