2(1-3n)=4(2-n)

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Solution for 2(1-3n)=4(2-n) equation:


Simplifying
2(1 + -3n) = 4(2 + -1n)
(1 * 2 + -3n * 2) = 4(2 + -1n)
(2 + -6n) = 4(2 + -1n)
2 + -6n = (2 * 4 + -1n * 4)
2 + -6n = (8 + -4n)

Solving
2 + -6n = 8 + -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.
2 + -6n + 4n = 8 + -4n + 4n

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

Combine like terms: -4n + 4n = 0
2 + -2n = 8 + 0
2 + -2n = 8

Add '-2' to each side of the equation.
2 + -2 + -2n = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = 8 + -2
-2n = 8 + -2

Combine like terms: 8 + -2 = 6
-2n = 6

Divide each side by '-2'.
n = -3

Simplifying
n = -3

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