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Simplifying 4r + 5s + -9(4r + -8s) = 0 4r + 5s + (4r * -9 + -8s * -9) = 0 4r + 5s + (-36r + 72s) = 0 Reorder the terms: 4r + -36r + 5s + 72s = 0 Combine like terms: 4r + -36r = -32r -32r + 5s + 72s = 0 Combine like terms: 5s + 72s = 77s -32r + 77s = 0 Solving -32r + 77s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-77s' to each side of the equation. -32r + 77s + -77s = 0 + -77s Combine like terms: 77s + -77s = 0 -32r + 0 = 0 + -77s -32r = 0 + -77s Remove the zero: -32r = -77s Divide each side by '-32'. r = 2.40625s Simplifying r = 2.40625s
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