.5(8n-2)=-(-8+-9)-5n

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Solution for .5(8n-2)=-(-8+-9)-5n equation:


Simplifying
0.5(8n + -2) = -1(-8 + -9) + -5n

Reorder the terms:
0.5(-2 + 8n) = -1(-8 + -9) + -5n
(-2 * 0.5 + 8n * 0.5) = -1(-8 + -9) + -5n
(-1 + 4n) = -1(-8 + -9) + -5n

Combine like terms: -8 + -9 = -17
-1 + 4n = -1(-17) + -5n

Multiply -1 * -17
-1 + 4n = 17 + -5n

Solving
-1 + 4n = 17 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-1 + 4n + 5n = 17 + -5n + 5n

Combine like terms: 4n + 5n = 9n
-1 + 9n = 17 + -5n + 5n

Combine like terms: -5n + 5n = 0
-1 + 9n = 17 + 0
-1 + 9n = 17

Add '1' to each side of the equation.
-1 + 1 + 9n = 17 + 1

Combine like terms: -1 + 1 = 0
0 + 9n = 17 + 1
9n = 17 + 1

Combine like terms: 17 + 1 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2

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