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Simplifying 9r + 4s + -9(9r + -8s) = 0 9r + 4s + (9r * -9 + -8s * -9) = 0 9r + 4s + (-81r + 72s) = 0 Reorder the terms: 9r + -81r + 4s + 72s = 0 Combine like terms: 9r + -81r = -72r -72r + 4s + 72s = 0 Combine like terms: 4s + 72s = 76s -72r + 76s = 0 Solving -72r + 76s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-76s' to each side of the equation. -72r + 76s + -76s = 0 + -76s Combine like terms: 76s + -76s = 0 -72r + 0 = 0 + -76s -72r = 0 + -76s Remove the zero: -72r = -76s Divide each side by '-72'. r = 1.055555556s Simplifying r = 1.055555556s
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