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Simplifying 9r + -4(r + -9) + 5(s + -9) = 0 Reorder the terms: 9r + -4(-9 + r) + 5(s + -9) = 0 9r + (-9 * -4 + r * -4) + 5(s + -9) = 0 9r + (36 + -4r) + 5(s + -9) = 0 Reorder the terms: 9r + 36 + -4r + 5(-9 + s) = 0 9r + 36 + -4r + (-9 * 5 + s * 5) = 0 9r + 36 + -4r + (-45 + 5s) = 0 Reorder the terms: 36 + -45 + 9r + -4r + 5s = 0 Combine like terms: 36 + -45 = -9 -9 + 9r + -4r + 5s = 0 Combine like terms: 9r + -4r = 5r -9 + 5r + 5s = 0 Solving -9 + 5r + 5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 5r + 9 + 5s = 0 + 9 Reorder the terms: -9 + 9 + 5r + 5s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5r + 5s = 0 + 9 5r + 5s = 0 + 9 Combine like terms: 0 + 9 = 9 5r + 5s = 9 Add '-5s' to each side of the equation. 5r + 5s + -5s = 9 + -5s Combine like terms: 5s + -5s = 0 5r + 0 = 9 + -5s 5r = 9 + -5s Divide each side by '5'. r = 1.8 + -1s Simplifying r = 1.8 + -1s
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