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Simplifying 6r + 6s + -9(4r + -5s) = 0 6r + 6s + (4r * -9 + -5s * -9) = 0 6r + 6s + (-36r + 45s) = 0 Reorder the terms: 6r + -36r + 6s + 45s = 0 Combine like terms: 6r + -36r = -30r -30r + 6s + 45s = 0 Combine like terms: 6s + 45s = 51s -30r + 51s = 0 Solving -30r + 51s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-51s' to each side of the equation. -30r + 51s + -51s = 0 + -51s Combine like terms: 51s + -51s = 0 -30r + 0 = 0 + -51s -30r = 0 + -51s Remove the zero: -30r = -51s Divide each side by '-30'. r = 1.7s Simplifying r = 1.7s
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