16=6.5n-2.4(2n-5)

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Solution for 16=6.5n-2.4(2n-5) equation: 


Simplifying
16 = 6.5n + -2.4(2n + -5)

Reorder the terms:
16 = 6.5n + -2.4(-5 + 2n)
16 = 6.5n + (-5 * -2.4 + 2n * -2.4)
16 = 6.5n + (12 + -4.8n)

Reorder the terms:
16 = 12 + 6.5n + -4.8n

Combine like terms: 6.5n + -4.8n = 1.7n
16 = 12 + 1.7n

Solving
16 = 12 + 1.7n

Solving for variable 'n'.

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

Add '-1.7n' to each side of the equation.
16 + -1.7n = 12 + 1.7n + -1.7n

Combine like terms: 1.7n + -1.7n = 0.0
16 + -1.7n = 12 + 0.0
16 + -1.7n = 12

Add '-16' to each side of the equation.
16 + -16 + -1.7n = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -1.7n = 12 + -16
-1.7n = 12 + -16

Combine like terms: 12 + -16 = -4
-1.7n = -4

Divide each side by '-1.7'.
n = 2.352941176

Simplifying
n = 2.352941176

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