(-3)(2n)+(-3)(-5)=(0.5)(-12n)+(0.5)(30)

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Solution for (-3)(2n)+(-3)(-5)=(0.5)(-12n)+(0.5)(30) equation: 


Simplifying
(-3)(2n) + (-3)(-5) = (0.5)(-12n) + (0.5)(30)

Remove parenthesis around (2n)
-3 * 2n + (-3)(-5) = (0.5)(-12n) + (0.5)(30)

Multiply -3 * 2
-6n + (-3)(-5) = (0.5)(-12n) + (0.5)(30)

Multiply -3 * -5
-6n + 15 = (0.5)(-12n) + (0.5)(30)

Reorder the terms:
15 + -6n = (0.5)(-12n) + (0.5)(30)

Remove parenthesis around (-12n)
15 + -6n = 0.5 * -12n + (0.5)(30)

Multiply 0.5 * -12
15 + -6n = -6n + (0.5)(30)

Multiply 0.5 * 30
15 + -6n = -6n + 15

Reorder the terms:
15 + -6n = 15 + -6n

Add '-15' to each side of the equation.
15 + -15 + -6n = 15 + -15 + -6n

Combine like terms: 15 + -15 = 0
0 + -6n = 15 + -15 + -6n
-6n = 15 + -15 + -6n

Combine like terms: 15 + -15 = 0
-6n = 0 + -6n
-6n = -6n

Add '6n' to each side of the equation.
-6n + 6n = -6n + 6n

Combine like terms: -6n + 6n = 0
0 = -6n + 6n

Combine like terms: -6n + 6n = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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