-(4n+4)+6(n+4)=2n+2n

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Solution for -(4n+4)+6(n+4)=2n+2n equation:


Simplifying
-1(4n + 4) + 6(n + 4) = 2n + 2n

Reorder the terms:
-1(4 + 4n) + 6(n + 4) = 2n + 2n
(4 * -1 + 4n * -1) + 6(n + 4) = 2n + 2n
(-4 + -4n) + 6(n + 4) = 2n + 2n

Reorder the terms:
-4 + -4n + 6(4 + n) = 2n + 2n
-4 + -4n + (4 * 6 + n * 6) = 2n + 2n
-4 + -4n + (24 + 6n) = 2n + 2n

Reorder the terms:
-4 + 24 + -4n + 6n = 2n + 2n

Combine like terms: -4 + 24 = 20
20 + -4n + 6n = 2n + 2n

Combine like terms: -4n + 6n = 2n
20 + 2n = 2n + 2n

Combine like terms: 2n + 2n = 4n
20 + 2n = 4n

Solving
20 + 2n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
20 + 2n + -4n = 4n + -4n

Combine like terms: 2n + -4n = -2n
20 + -2n = 4n + -4n

Combine like terms: 4n + -4n = 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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