2-15n=5(3n+2)

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Solution for 2-15n=5(3n+2) equation:


Simplifying
2 + -15n = 5(3n + 2)

Reorder the terms:
2 + -15n = 5(2 + 3n)
2 + -15n = (2 * 5 + 3n * 5)
2 + -15n = (10 + 15n)

Solving
2 + -15n = 10 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
2 + -15n + -15n = 10 + 15n + -15n

Combine like terms: -15n + -15n = -30n
2 + -30n = 10 + 15n + -15n

Combine like terms: 15n + -15n = 0
2 + -30n = 10 + 0
2 + -30n = 10

Add '-2' to each side of the equation.
2 + -2 + -30n = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -30n = 10 + -2
-30n = 10 + -2

Combine like terms: 10 + -2 = 8
-30n = 8

Divide each side by '-30'.
n = -0.2666666667

Simplifying
n = -0.2666666667

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