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Simplifying 3r + -5 = 5(-4r + -9) Reorder the terms: -5 + 3r = 5(-4r + -9) Reorder the terms: -5 + 3r = 5(-9 + -4r) -5 + 3r = (-9 * 5 + -4r * 5) -5 + 3r = (-45 + -20r) Solving -5 + 3r = -45 + -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. -5 + 3r + 20r = -45 + -20r + 20r Combine like terms: 3r + 20r = 23r -5 + 23r = -45 + -20r + 20r Combine like terms: -20r + 20r = 0 -5 + 23r = -45 + 0 -5 + 23r = -45 Add '5' to each side of the equation. -5 + 5 + 23r = -45 + 5 Combine like terms: -5 + 5 = 0 0 + 23r = -45 + 5 23r = -45 + 5 Combine like terms: -45 + 5 = -40 23r = -40 Divide each side by '23'. r = -1.739130435 Simplifying r = -1.739130435
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