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

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


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

Reorder the terms:
-3 + -6n = -5(3n + 6)

Reorder the terms:
-3 + -6n = -5(6 + 3n)
-3 + -6n = (6 * -5 + 3n * -5)
-3 + -6n = (-30 + -15n)

Solving
-3 + -6n = -30 + -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.
-3 + -6n + 15n = -30 + -15n + 15n

Combine like terms: -6n + 15n = 9n
-3 + 9n = -30 + -15n + 15n

Combine like terms: -15n + 15n = 0
-3 + 9n = -30 + 0
-3 + 9n = -30

Add '3' to each side of the equation.
-3 + 3 + 9n = -30 + 3

Combine like terms: -3 + 3 = 0
0 + 9n = -30 + 3
9n = -30 + 3

Combine like terms: -30 + 3 = -27
9n = -27

Divide each side by '9'.
n = -3

Simplifying
n = -3

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