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

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


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

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

Combine like terms: -15n + 5n = -10n
2 + -15n = 10 + -10n

Solving
2 + -15n = 10 + -10n

Solving for variable 'n'.

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

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

Combine like terms: -15n + 10n = -5n
2 + -5n = 10 + -10n + 10n

Combine like terms: -10n + 10n = 0
2 + -5n = 10 + 0
2 + -5n = 10

Add '-2' to each side of the equation.
2 + -2 + -5n = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -5n = 10 + -2
-5n = 10 + -2

Combine like terms: 10 + -2 = 8
-5n = 8

Divide each side by '-5'.
n = -1.6

Simplifying
n = -1.6

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