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

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


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

Remove parenthesis around (5 + -15n)
-3 + 5 + -15n = 15(3n + -2)

Combine like terms: -3 + 5 = 2
2 + -15n = 15(3n + -2)

Reorder the terms:
2 + -15n = 15(-2 + 3n)
2 + -15n = (-2 * 15 + 3n * 15)
2 + -15n = (-30 + 45n)

Solving
2 + -15n = -30 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
2 + -15n + -45n = -30 + 45n + -45n

Combine like terms: -15n + -45n = -60n
2 + -60n = -30 + 45n + -45n

Combine like terms: 45n + -45n = 0
2 + -60n = -30 + 0
2 + -60n = -30

Add '-2' to each side of the equation.
2 + -2 + -60n = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -60n = -30 + -2
-60n = -30 + -2

Combine like terms: -30 + -2 = -32
-60n = -32

Divide each side by '-60'.
n = 0.5333333333

Simplifying
n = 0.5333333333

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