0.5(8n-2)=16-30n

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Solution for 0.5(8n-2)=16-30n equation:


Simplifying
0.5(8n + -2) = 16 + -30n

Reorder the terms:
0.5(-2 + 8n) = 16 + -30n
(-2 * 0.5 + 8n * 0.5) = 16 + -30n
(-1 + 4n) = 16 + -30n

Solving
-1 + 4n = 16 + -30n

Solving for variable 'n'.

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

Add '30n' to each side of the equation.
-1 + 4n + 30n = 16 + -30n + 30n

Combine like terms: 4n + 30n = 34n
-1 + 34n = 16 + -30n + 30n

Combine like terms: -30n + 30n = 0
-1 + 34n = 16 + 0
-1 + 34n = 16

Add '1' to each side of the equation.
-1 + 1 + 34n = 16 + 1

Combine like terms: -1 + 1 = 0
0 + 34n = 16 + 1
34n = 16 + 1

Combine like terms: 16 + 1 = 17
34n = 17

Divide each side by '34'.
n = 0.5

Simplifying
n = 0.5

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