What is the solution to8(5-r)/5=-2r

Expand 8(5-r)/5=-2r as indicated: 40 - 8r

= - 2r

5

Multiply both sides by 5, obtaining 40 - 8r = - 10r

Combine like terms: 40 = - 2r

Divide both sides by -2: -20 = r

The solution to 8(5-r)/5=-2r is -20. Verify this by subbing -20 for r in the given equation.

First, write out the equation:

8 * (5 - r) = -2r

Now, distribute the left side:

40 - 8r = -2r

Add 8r to both sides to isolate the variable:

40 = 6r

Divide by 6:

r = 40/6

Simplify:

r = 20/3

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