(6n+9)+(-3n-3)+(2n+7)=

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Solution for (6n+9)+(-3n-3)+(2n+7)= equation:


Simplifying
(6n + 9) + (-3n + -3) + (2n + 7) = 0

Reorder the terms:
(9 + 6n) + (-3n + -3) + (2n + 7) = 0

Remove parenthesis around (9 + 6n)
9 + 6n + (-3n + -3) + (2n + 7) = 0

Reorder the terms:
9 + 6n + (-3 + -3n) + (2n + 7) = 0

Remove parenthesis around (-3 + -3n)
9 + 6n + -3 + -3n + (2n + 7) = 0

Reorder the terms:
9 + 6n + -3 + -3n + (7 + 2n) = 0

Remove parenthesis around (7 + 2n)
9 + 6n + -3 + -3n + 7 + 2n = 0

Reorder the terms:
9 + -3 + 7 + 6n + -3n + 2n = 0

Combine like terms: 9 + -3 = 6
6 + 7 + 6n + -3n + 2n = 0

Combine like terms: 6 + 7 = 13
13 + 6n + -3n + 2n = 0

Combine like terms: 6n + -3n = 3n
13 + 3n + 2n = 0

Combine like terms: 3n + 2n = 5n
13 + 5n = 0

Solving
13 + 5n = 0

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 5n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 5n = 0 + -13
5n = 0 + -13

Combine like terms: 0 + -13 = -13
5n = -13

Divide each side by '5'.
n = -2.6

Simplifying
n = -2.6

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