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Simplifying 7r + 31 = 3(1 + -7r) Reorder the terms: 31 + 7r = 3(1 + -7r) 31 + 7r = (1 * 3 + -7r * 3) 31 + 7r = (3 + -21r) Solving 31 + 7r = 3 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. 31 + 7r + 21r = 3 + -21r + 21r Combine like terms: 7r + 21r = 28r 31 + 28r = 3 + -21r + 21r Combine like terms: -21r + 21r = 0 31 + 28r = 3 + 0 31 + 28r = 3 Add '-31' to each side of the equation. 31 + -31 + 28r = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 28r = 3 + -31 28r = 3 + -31 Combine like terms: 3 + -31 = -28 28r = -28 Divide each side by '28'. r = -1 Simplifying r = -1
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