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

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


Simplifying
2(2 + -3n) + -1(5 + -3n) = 4 + -2n
(2 * 2 + -3n * 2) + -1(5 + -3n) = 4 + -2n
(4 + -6n) + -1(5 + -3n) = 4 + -2n
4 + -6n + (5 * -1 + -3n * -1) = 4 + -2n
4 + -6n + (-5 + 3n) = 4 + -2n

Reorder the terms:
4 + -5 + -6n + 3n = 4 + -2n

Combine like terms: 4 + -5 = -1
-1 + -6n + 3n = 4 + -2n

Combine like terms: -6n + 3n = -3n
-1 + -3n = 4 + -2n

Solving
-1 + -3n = 4 + -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.
-1 + -3n + 2n = 4 + -2n + 2n

Combine like terms: -3n + 2n = -1n
-1 + -1n = 4 + -2n + 2n

Combine like terms: -2n + 2n = 0
-1 + -1n = 4 + 0
-1 + -1n = 4

Add '1' to each side of the equation.
-1 + 1 + -1n = 4 + 1

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

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

Divide each side by '-1'.
n = -5

Simplifying
n = -5

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