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Simplifying 6r + s + -9r + 4s = 0 Reorder the terms: 6r + -9r + s + 4s = 0 Combine like terms: 6r + -9r = -3r -3r + s + 4s = 0 Combine like terms: s + 4s = 5s -3r + 5s = 0 Solving -3r + 5s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5s' to each side of the equation. -3r + 5s + -5s = 0 + -5s Combine like terms: 5s + -5s = 0 -3r + 0 = 0 + -5s -3r = 0 + -5s Remove the zero: -3r = -5s Divide each side by '-3'. r = 1.666666667s Simplifying r = 1.666666667s
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