5(2-3x)-17(2n-5)=16

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Solution for 5(2-3x)-17(2n-5)=16 equation: 


Simplifying
5(2 + -3x) + -17(2n + -5) = 16
(2 * 5 + -3x * 5) + -17(2n + -5) = 16
(10 + -15x) + -17(2n + -5) = 16

Reorder the terms:
10 + -15x + -17(-5 + 2n) = 16
10 + -15x + (-5 * -17 + 2n * -17) = 16
10 + -15x + (85 + -34n) = 16

Reorder the terms:
10 + 85 + -34n + -15x = 16

Combine like terms: 10 + 85 = 95
95 + -34n + -15x = 16

Solving
95 + -34n + -15x = 16

Solving for variable 'n'.

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

Add '-95' to each side of the equation.
95 + -34n + -95 + -15x = 16 + -95

Reorder the terms:
95 + -95 + -34n + -15x = 16 + -95

Combine like terms: 95 + -95 = 0
0 + -34n + -15x = 16 + -95
-34n + -15x = 16 + -95

Combine like terms: 16 + -95 = -79
-34n + -15x = -79

Add '15x' to each side of the equation.
-34n + -15x + 15x = -79 + 15x

Combine like terms: -15x + 15x = 0
-34n + 0 = -79 + 15x
-34n = -79 + 15x

Divide each side by '-34'.
n = 2.323529412 + -0.4411764706x

Simplifying
n = 2.323529412 + -0.4411764706x

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