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Simplifying 7(r + 8) = 3(r + 12) Reorder the terms: 7(8 + r) = 3(r + 12) (8 * 7 + r * 7) = 3(r + 12) (56 + 7r) = 3(r + 12) Reorder the terms: 56 + 7r = 3(12 + r) 56 + 7r = (12 * 3 + r * 3) 56 + 7r = (36 + 3r) Solving 56 + 7r = 36 + 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. 56 + 7r + -3r = 36 + 3r + -3r Combine like terms: 7r + -3r = 4r 56 + 4r = 36 + 3r + -3r Combine like terms: 3r + -3r = 0 56 + 4r = 36 + 0 56 + 4r = 36 Add '-56' to each side of the equation. 56 + -56 + 4r = 36 + -56 Combine like terms: 56 + -56 = 0 0 + 4r = 36 + -56 4r = 36 + -56 Combine like terms: 36 + -56 = -20 4r = -20 Divide each side by '4'. r = -5 Simplifying r = -5
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