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Simplifying -5 = 0.25(41 + 20r) + -8r -5 = (41 * 0.25 + 20r * 0.25) + -8r -5 = (10.25 + 5r) + -8r Combine like terms: 5r + -8r = -3r -5 = 10.25 + -3r Solving -5 = 10.25 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -5 + 3r = 10.25 + -3r + 3r Combine like terms: -3r + 3r = 0 -5 + 3r = 10.25 + 0 -5 + 3r = 10.25 Add '5' to each side of the equation. -5 + 5 + 3r = 10.25 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = 10.25 + 5 3r = 10.25 + 5 Combine like terms: 10.25 + 5 = 15.25 3r = 15.25 Divide each side by '3'. r = 5.083333333 Simplifying r = 5.083333333
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