-4(n+2)-2(-7-n)=4n-5+5n

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Solution for -4(n+2)-2(-7-n)=4n-5+5n equation:


Simplifying
-4(n + 2) + -2(-7 + -1n) = 4n + -5 + 5n

Reorder the terms:
-4(2 + n) + -2(-7 + -1n) = 4n + -5 + 5n
(2 * -4 + n * -4) + -2(-7 + -1n) = 4n + -5 + 5n
(-8 + -4n) + -2(-7 + -1n) = 4n + -5 + 5n
-8 + -4n + (-7 * -2 + -1n * -2) = 4n + -5 + 5n
-8 + -4n + (14 + 2n) = 4n + -5 + 5n

Reorder the terms:
-8 + 14 + -4n + 2n = 4n + -5 + 5n

Combine like terms: -8 + 14 = 6
6 + -4n + 2n = 4n + -5 + 5n

Combine like terms: -4n + 2n = -2n
6 + -2n = 4n + -5 + 5n

Reorder the terms:
6 + -2n = -5 + 4n + 5n

Combine like terms: 4n + 5n = 9n
6 + -2n = -5 + 9n

Solving
6 + -2n = -5 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + -2n + -9n = -5 + 9n + -9n

Combine like terms: -2n + -9n = -11n
6 + -11n = -5 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -11n = -5 + 0
6 + -11n = -5

Add '-6' to each side of the equation.
6 + -6 + -11n = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -11n = -5 + -6
-11n = -5 + -6

Combine like terms: -5 + -6 = -11
-11n = -11

Divide each side by '-11'.
n = 1

Simplifying
n = 1

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