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Simplifying 8(3r + 5 + 4s) = 0 Reorder the terms: 8(5 + 3r + 4s) = 0 (5 * 8 + 3r * 8 + 4s * 8) = 0 (40 + 24r + 32s) = 0 Solving 40 + 24r + 32s = 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 + 24r + -40 + 32s = 0 + -40 Reorder the terms: 40 + -40 + 24r + 32s = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 24r + 32s = 0 + -40 24r + 32s = 0 + -40 Combine like terms: 0 + -40 = -40 24r + 32s = -40 Add '-32s' to each side of the equation. 24r + 32s + -32s = -40 + -32s Combine like terms: 32s + -32s = 0 24r + 0 = -40 + -32s 24r = -40 + -32s Divide each side by '24'. r = -1.666666667 + -1.333333333s Simplifying r = -1.666666667 + -1.333333333s
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