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Simplifying 8r + 5s + -5(9r + -3s) = 0 8r + 5s + (9r * -5 + -3s * -5) = 0 8r + 5s + (-45r + 15s) = 0 Reorder the terms: 8r + -45r + 5s + 15s = 0 Combine like terms: 8r + -45r = -37r -37r + 5s + 15s = 0 Combine like terms: 5s + 15s = 20s -37r + 20s = 0 Solving -37r + 20s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20s' to each side of the equation. -37r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 -37r + 0 = 0 + -20s -37r = 0 + -20s Remove the zero: -37r = -20s Divide each side by '-37'. r = 0.5405405405s Simplifying r = 0.5405405405s
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