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Simplifying 4(6r + 7) = 7r + -23 Reorder the terms: 4(7 + 6r) = 7r + -23 (7 * 4 + 6r * 4) = 7r + -23 (28 + 24r) = 7r + -23 Reorder the terms: 28 + 24r = -23 + 7r Solving 28 + 24r = -23 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 28 + 24r + -7r = -23 + 7r + -7r Combine like terms: 24r + -7r = 17r 28 + 17r = -23 + 7r + -7r Combine like terms: 7r + -7r = 0 28 + 17r = -23 + 0 28 + 17r = -23 Add '-28' to each side of the equation. 28 + -28 + 17r = -23 + -28 Combine like terms: 28 + -28 = 0 0 + 17r = -23 + -28 17r = -23 + -28 Combine like terms: -23 + -28 = -51 17r = -51 Divide each side by '17'. r = -3 Simplifying r = -3
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