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

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Solution for 3n+1=2(3n-5)-2n equation:


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

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

Reorder the terms:
1 + 3n = 2(-5 + 3n) + -2n
1 + 3n = (-5 * 2 + 3n * 2) + -2n
1 + 3n = (-10 + 6n) + -2n

Combine like terms: 6n + -2n = 4n
1 + 3n = -10 + 4n

Solving
1 + 3n = -10 + 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.
1 + 3n + -4n = -10 + 4n + -4n

Combine like terms: 3n + -4n = -1n
1 + -1n = -10 + 4n + -4n

Combine like terms: 4n + -4n = 0
1 + -1n = -10 + 0
1 + -1n = -10

Add '-1' to each side of the equation.
1 + -1 + -1n = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = -10 + -1
-1n = -10 + -1

Combine like terms: -10 + -1 = -11
-1n = -11

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

Simplifying
n = 11

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