-9(n+3)=6(n-11)

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Solution for -9(n+3)=6(n-11) equation:


Simplifying
-9(n + 3) = 6(n + -11)

Reorder the terms:
-9(3 + n) = 6(n + -11)
(3 * -9 + n * -9) = 6(n + -11)
(-27 + -9n) = 6(n + -11)

Reorder the terms:
-27 + -9n = 6(-11 + n)
-27 + -9n = (-11 * 6 + n * 6)
-27 + -9n = (-66 + 6n)

Solving
-27 + -9n = -66 + 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.
-27 + -9n + -6n = -66 + 6n + -6n

Combine like terms: -9n + -6n = -15n
-27 + -15n = -66 + 6n + -6n

Combine like terms: 6n + -6n = 0
-27 + -15n = -66 + 0
-27 + -15n = -66

Add '27' to each side of the equation.
-27 + 27 + -15n = -66 + 27

Combine like terms: -27 + 27 = 0
0 + -15n = -66 + 27
-15n = -66 + 27

Combine like terms: -66 + 27 = -39
-15n = -39

Divide each side by '-15'.
n = 2.6

Simplifying
n = 2.6

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