16=6.5n-3.3(n-5)

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Solution for 16=6.5n-3.3(n-5) equation:


Simplifying
16 = 6.5n + -3.3(n + -5)

Reorder the terms:
16 = 6.5n + -3.3(-5 + n)
16 = 6.5n + (-5 * -3.3 + n * -3.3)
16 = 6.5n + (16.5 + -3.3n)

Reorder the terms:
16 = 16.5 + 6.5n + -3.3n

Combine like terms: 6.5n + -3.3n = 3.2n
16 = 16.5 + 3.2n

Solving
16 = 16.5 + 3.2n

Solving for variable 'n'.

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

Add '-3.2n' to each side of the equation.
16 + -3.2n = 16.5 + 3.2n + -3.2n

Combine like terms: 3.2n + -3.2n = 0.0
16 + -3.2n = 16.5 + 0.0
16 + -3.2n = 16.5

Add '-16' to each side of the equation.
16 + -16 + -3.2n = 16.5 + -16

Combine like terms: 16 + -16 = 0
0 + -3.2n = 16.5 + -16
-3.2n = 16.5 + -16

Combine like terms: 16.5 + -16 = 0.5
-3.2n = 0.5

Divide each side by '-3.2'.
n = -0.15625

Simplifying
n = -0.15625

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