2n+13=3(2n-1)

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Solution for 2n+13=3(2n-1) equation:


Simplifying
2n + 13 = 3(2n + -1)

Reorder the terms:
13 + 2n = 3(2n + -1)

Reorder the terms:
13 + 2n = 3(-1 + 2n)
13 + 2n = (-1 * 3 + 2n * 3)
13 + 2n = (-3 + 6n)

Solving
13 + 2n = -3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
13 + 2n + -6n = -3 + 6n + -6n

Combine like terms: 2n + -6n = -4n
13 + -4n = -3 + 6n + -6n

Combine like terms: 6n + -6n = 0
13 + -4n = -3 + 0
13 + -4n = -3

Add '-13' to each side of the equation.
13 + -13 + -4n = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4n = -3 + -13
-4n = -3 + -13

Combine like terms: -3 + -13 = -16
-4n = -16

Divide each side by '-4'.
n = 4

Simplifying
n = 4

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