5n-2=3(n-3)

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


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

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

Reorder the terms:
-2 + 5n = 3(-3 + n)
-2 + 5n = (-3 * 3 + n * 3)
-2 + 5n = (-9 + 3n)

Solving
-2 + 5n = -9 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-2 + 5n + -3n = -9 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-2 + 2n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-2 + 2n = -9 + 0
-2 + 2n = -9

Add '2' to each side of the equation.
-2 + 2 + 2n = -9 + 2

Combine like terms: -2 + 2 = 0
0 + 2n = -9 + 2
2n = -9 + 2

Combine like terms: -9 + 2 = -7
2n = -7

Divide each side by '2'.
n = -3.5

Simplifying
n = -3.5

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