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Simplifying 5r + -20 = 5(-3r + 8) Reorder the terms: -20 + 5r = 5(-3r + 8) Reorder the terms: -20 + 5r = 5(8 + -3r) -20 + 5r = (8 * 5 + -3r * 5) -20 + 5r = (40 + -15r) Solving -20 + 5r = 40 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -20 + 5r + 15r = 40 + -15r + 15r Combine like terms: 5r + 15r = 20r -20 + 20r = 40 + -15r + 15r Combine like terms: -15r + 15r = 0 -20 + 20r = 40 + 0 -20 + 20r = 40 Add '20' to each side of the equation. -20 + 20 + 20r = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 20r = 40 + 20 20r = 40 + 20 Combine like terms: 40 + 20 = 60 20r = 60 Divide each side by '20'. r = 3 Simplifying r = 3
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