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Simplifying -20 + -3r = 5(4r + 8) Reorder the terms: -20 + -3r = 5(8 + 4r) -20 + -3r = (8 * 5 + 4r * 5) -20 + -3r = (40 + 20r) Solving -20 + -3r = 40 + 20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20r' to each side of the equation. -20 + -3r + -20r = 40 + 20r + -20r Combine like terms: -3r + -20r = -23r -20 + -23r = 40 + 20r + -20r Combine like terms: 20r + -20r = 0 -20 + -23r = 40 + 0 -20 + -23r = 40 Add '20' to each side of the equation. -20 + 20 + -23r = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -23r = 40 + 20 -23r = 40 + 20 Combine like terms: 40 + 20 = 60 -23r = 60 Divide each side by '-23'. r = -2.608695652 Simplifying r = -2.608695652
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