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Simplifying 8(4r + 5 + 9s) = 0 Reorder the terms: 8(5 + 4r + 9s) = 0 (5 * 8 + 4r * 8 + 9s * 8) = 0 (40 + 32r + 72s) = 0 Solving 40 + 32r + 72s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 32r + -40 + 72s = 0 + -40 Reorder the terms: 40 + -40 + 32r + 72s = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 32r + 72s = 0 + -40 32r + 72s = 0 + -40 Combine like terms: 0 + -40 = -40 32r + 72s = -40 Add '-72s' to each side of the equation. 32r + 72s + -72s = -40 + -72s Combine like terms: 72s + -72s = 0 32r + 0 = -40 + -72s 32r = -40 + -72s Divide each side by '32'. r = -1.25 + -2.25s Simplifying r = -1.25 + -2.25s
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