2n-3(4n+5)=-6(n-3)

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Solution for 2n-3(4n+5)=-6(n-3) equation: 


Simplifying
2n + -3(4n + 5) = -6(n + -3)

Reorder the terms:
2n + -3(5 + 4n) = -6(n + -3)
2n + (5 * -3 + 4n * -3) = -6(n + -3)
2n + (-15 + -12n) = -6(n + -3)

Reorder the terms:
-15 + 2n + -12n = -6(n + -3)

Combine like terms: 2n + -12n = -10n
-15 + -10n = -6(n + -3)

Reorder the terms:
-15 + -10n = -6(-3 + n)
-15 + -10n = (-3 * -6 + n * -6)
-15 + -10n = (18 + -6n)

Solving
-15 + -10n = 18 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-15 + -10n + 6n = 18 + -6n + 6n

Combine like terms: -10n + 6n = -4n
-15 + -4n = 18 + -6n + 6n

Combine like terms: -6n + 6n = 0
-15 + -4n = 18 + 0
-15 + -4n = 18

Add '15' to each side of the equation.
-15 + 15 + -4n = 18 + 15

Combine like terms: -15 + 15 = 0
0 + -4n = 18 + 15
-4n = 18 + 15

Combine like terms: 18 + 15 = 33
-4n = 33

Divide each side by '-4'.
n = -8.25

Simplifying
n = -8.25

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