9n+3=2(2n-1)+13

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Solution for 9n+3=2(2n-1)+13 equation:


Simplifying
9n + 3 = 2(2n + -1) + 13

Reorder the terms:
3 + 9n = 2(2n + -1) + 13

Reorder the terms:
3 + 9n = 2(-1 + 2n) + 13
3 + 9n = (-1 * 2 + 2n * 2) + 13
3 + 9n = (-2 + 4n) + 13

Reorder the terms:
3 + 9n = -2 + 13 + 4n

Combine like terms: -2 + 13 = 11
3 + 9n = 11 + 4n

Solving
3 + 9n = 11 + 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.
3 + 9n + -4n = 11 + 4n + -4n

Combine like terms: 9n + -4n = 5n
3 + 5n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
3 + 5n = 11 + 0
3 + 5n = 11

Add '-3' to each side of the equation.
3 + -3 + 5n = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = 11 + -3
5n = 11 + -3

Combine like terms: 11 + -3 = 8
5n = 8

Divide each side by '5'.
n = 1.6

Simplifying
n = 1.6

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