-9(n-3)-(5+6n)=16n

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Solution for -9(n-3)-(5+6n)=16n equation:


Simplifying
-9(n + -3) + -1(5 + 6n) = 16n

Reorder the terms:
-9(-3 + n) + -1(5 + 6n) = 16n
(-3 * -9 + n * -9) + -1(5 + 6n) = 16n
(27 + -9n) + -1(5 + 6n) = 16n
27 + -9n + (5 * -1 + 6n * -1) = 16n
27 + -9n + (-5 + -6n) = 16n

Reorder the terms:
27 + -5 + -9n + -6n = 16n

Combine like terms: 27 + -5 = 22
22 + -9n + -6n = 16n

Combine like terms: -9n + -6n = -15n
22 + -15n = 16n

Solving
22 + -15n = 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
22 + -15n + -16n = 16n + -16n

Combine like terms: -15n + -16n = -31n
22 + -31n = 16n + -16n

Combine like terms: 16n + -16n = 0
22 + -31n = 0

Add '-22' to each side of the equation.
22 + -22 + -31n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -31n = 0 + -22
-31n = 0 + -22

Combine like terms: 0 + -22 = -22
-31n = -22

Divide each side by '-31'.
n = 0.7096774194

Simplifying
n = 0.7096774194

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