6.5(3.5-2.5r)=-17.5

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Solution for 6.5(3.5-2.5r)=-17.5 equation: 


Simplifying
6.5(3.5 + -2.5r) = -17.5
(3.5 * 6.5 + -2.5r * 6.5) = -17.5
(22.75 + -16.25r) = -17.5

Solving
22.75 + -16.25r = -17.5

Solving for variable 'r'.

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

Add '-22.75' to each side of the equation.
22.75 + -22.75 + -16.25r = -17.5 + -22.75

Combine like terms: 22.75 + -22.75 = 0.00
0.00 + -16.25r = -17.5 + -22.75
-16.25r = -17.5 + -22.75

Combine like terms: -17.5 + -22.75 = -40.25
-16.25r = -40.25

Divide each side by '-16.25'.
r = 2.476923077

Simplifying
r = 2.476923077

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