3(n-4)-(5-2n)=4n

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Solution for 3(n-4)-(5-2n)=4n equation:


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

Reorder the terms:
3(-4 + n) + -1(5 + -2n) = 4n
(-4 * 3 + n * 3) + -1(5 + -2n) = 4n
(-12 + 3n) + -1(5 + -2n) = 4n
-12 + 3n + (5 * -1 + -2n * -1) = 4n
-12 + 3n + (-5 + 2n) = 4n

Reorder the terms:
-12 + -5 + 3n + 2n = 4n

Combine like terms: -12 + -5 = -17
-17 + 3n + 2n = 4n

Combine like terms: 3n + 2n = 5n
-17 + 5n = 4n

Solving
-17 + 5n = 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.
-17 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-17 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-17 + 1n = 0

Add '17' to each side of the equation.
-17 + 17 + 1n = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1n = 0 + 17
1n = 0 + 17

Combine like terms: 0 + 17 = 17
1n = 17

Divide each side by '1'.
n = 17

Simplifying
n = 17

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