n+2=5(n-3)

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


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

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

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

Solving
2 + n = -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.
2 + n + -5n = -15 + 5n + -5n

Combine like terms: n + -5n = -4n
2 + -4n = -15 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -4n = -15 + 0
2 + -4n = -15

Add '-2' to each side of the equation.
2 + -2 + -4n = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -4n = -15 + -2
-4n = -15 + -2

Combine like terms: -15 + -2 = -17
-4n = -17

Divide each side by '-4'.
n = 4.25

Simplifying
n = 4.25

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