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Simplifying -5(4r + -7) + 8 = 3r Reorder the terms: -5(-7 + 4r) + 8 = 3r (-7 * -5 + 4r * -5) + 8 = 3r (35 + -20r) + 8 = 3r Reorder the terms: 35 + 8 + -20r = 3r Combine like terms: 35 + 8 = 43 43 + -20r = 3r Solving 43 + -20r = 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. 43 + -20r + -3r = 3r + -3r Combine like terms: -20r + -3r = -23r 43 + -23r = 3r + -3r Combine like terms: 3r + -3r = 0 43 + -23r = 0 Add '-43' to each side of the equation. 43 + -43 + -23r = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -23r = 0 + -43 -23r = 0 + -43 Combine like terms: 0 + -43 = -43 -23r = -43 Divide each side by '-23'. r = 1.869565217 Simplifying r = 1.869565217
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