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Simplifying 12(r + 7 + 5s) = 0 Reorder the terms: 12(7 + r + 5s) = 0 (7 * 12 + r * 12 + 5s * 12) = 0 (84 + 12r + 60s) = 0 Solving 84 + 12r + 60s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + 12r + -84 + 60s = 0 + -84 Reorder the terms: 84 + -84 + 12r + 60s = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 12r + 60s = 0 + -84 12r + 60s = 0 + -84 Combine like terms: 0 + -84 = -84 12r + 60s = -84 Add '-60s' to each side of the equation. 12r + 60s + -60s = -84 + -60s Combine like terms: 60s + -60s = 0 12r + 0 = -84 + -60s 12r = -84 + -60s Divide each side by '12'. r = -7 + -5s Simplifying r = -7 + -5s
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