2(10-11n)=4(5+12n)+2n

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Solution for 2(10-11n)=4(5+12n)+2n equation:


Simplifying
2(10 + -11n) = 4(5 + 12n) + 2n
(10 * 2 + -11n * 2) = 4(5 + 12n) + 2n
(20 + -22n) = 4(5 + 12n) + 2n
20 + -22n = (5 * 4 + 12n * 4) + 2n
20 + -22n = (20 + 48n) + 2n

Combine like terms: 48n + 2n = 50n
20 + -22n = 20 + 50n

Add '-20' to each side of the equation.
20 + -20 + -22n = 20 + -20 + 50n

Combine like terms: 20 + -20 = 0
0 + -22n = 20 + -20 + 50n
-22n = 20 + -20 + 50n

Combine like terms: 20 + -20 = 0
-22n = 0 + 50n
-22n = 50n

Solving
-22n = 50n

Solving for variable 'n'.

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

Add '-50n' to each side of the equation.
-22n + -50n = 50n + -50n

Combine like terms: -22n + -50n = -72n
-72n = 50n + -50n

Combine like terms: 50n + -50n = 0
-72n = 0

Divide each side by '-72'.
n = 0

Simplifying
n = 0

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