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Simplifying 31 = -4(5r + 7) Reorder the terms: 31 = -4(7 + 5r) 31 = (7 * -4 + 5r * -4) 31 = (-28 + -20r) Solving 31 = -28 + -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. 31 + 20r = -28 + -20r + 20r Combine like terms: -20r + 20r = 0 31 + 20r = -28 + 0 31 + 20r = -28 Add '-31' to each side of the equation. 31 + -31 + 20r = -28 + -31 Combine like terms: 31 + -31 = 0 0 + 20r = -28 + -31 20r = -28 + -31 Combine like terms: -28 + -31 = -59 20r = -59 Divide each side by '20'. r = -2.95 Simplifying r = -2.95
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