-2(6-3n)-3(n+1)=-21

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Solution for -2(6-3n)-3(n+1)=-21 equation: 


Simplifying
-2(6 + -3n) + -3(n + 1) = -21
(6 * -2 + -3n * -2) + -3(n + 1) = -21
(-12 + 6n) + -3(n + 1) = -21

Reorder the terms:
-12 + 6n + -3(1 + n) = -21
-12 + 6n + (1 * -3 + n * -3) = -21
-12 + 6n + (-3 + -3n) = -21

Reorder the terms:
-12 + -3 + 6n + -3n = -21

Combine like terms: -12 + -3 = -15
-15 + 6n + -3n = -21

Combine like terms: 6n + -3n = 3n
-15 + 3n = -21

Solving
-15 + 3n = -21

Solving for variable 'n'.

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

Add '15' to each side of the equation.
-15 + 15 + 3n = -21 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = -21 + 15
3n = -21 + 15

Combine like terms: -21 + 15 = -6
3n = -6

Divide each side by '3'.
n = -2

Simplifying
n = -2

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