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Simplifying 3(8r + 3 + 4s) = 0 Reorder the terms: 3(3 + 8r + 4s) = 0 (3 * 3 + 8r * 3 + 4s * 3) = 0 (9 + 24r + 12s) = 0 Solving 9 + 24r + 12s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 24r + -9 + 12s = 0 + -9 Reorder the terms: 9 + -9 + 24r + 12s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 24r + 12s = 0 + -9 24r + 12s = 0 + -9 Combine like terms: 0 + -9 = -9 24r + 12s = -9 Add '-12s' to each side of the equation. 24r + 12s + -12s = -9 + -12s Combine like terms: 12s + -12s = 0 24r + 0 = -9 + -12s 24r = -9 + -12s Divide each side by '24'. r = -0.375 + -0.5s Simplifying r = -0.375 + -0.5s
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