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Simplifying 9r + 6s + -5(5r + -4s) = 0 9r + 6s + (5r * -5 + -4s * -5) = 0 9r + 6s + (-25r + 20s) = 0 Reorder the terms: 9r + -25r + 6s + 20s = 0 Combine like terms: 9r + -25r = -16r -16r + 6s + 20s = 0 Combine like terms: 6s + 20s = 26s -16r + 26s = 0 Solving -16r + 26s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-26s' to each side of the equation. -16r + 26s + -26s = 0 + -26s Combine like terms: 26s + -26s = 0 -16r + 0 = 0 + -26s -16r = 0 + -26s Remove the zero: -16r = -26s Divide each side by '-16'. r = 1.625s Simplifying r = 1.625s
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