3-4n=5(n-3)

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Solution for 3-4n=5(n-3) equation:


Simplifying
3 + -4n = 5(n + -3)

Reorder the terms:
3 + -4n = 5(-3 + n)
3 + -4n = (-3 * 5 + n * 5)
3 + -4n = (-15 + 5n)

Solving
3 + -4n = -15 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
3 + -4n + -5n = -15 + 5n + -5n

Combine like terms: -4n + -5n = -9n
3 + -9n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
3 + -9n = -15 + 0
3 + -9n = -15

Add '-3' to each side of the equation.
3 + -3 + -9n = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -9n = -15 + -3
-9n = -15 + -3

Combine like terms: -15 + -3 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

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