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Simplifying 5r + 8s + -8(4r + -3s) = 0 5r + 8s + (4r * -8 + -3s * -8) = 0 5r + 8s + (-32r + 24s) = 0 Reorder the terms: 5r + -32r + 8s + 24s = 0 Combine like terms: 5r + -32r = -27r -27r + 8s + 24s = 0 Combine like terms: 8s + 24s = 32s -27r + 32s = 0 Solving -27r + 32s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32s' to each side of the equation. -27r + 32s + -32s = 0 + -32s Combine like terms: 32s + -32s = 0 -27r + 0 = 0 + -32s -27r = 0 + -32s Remove the zero: -27r = -32s Divide each side by '-27'. r = 1.185185185s Simplifying r = 1.185185185s
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