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Simplifying 9r + 8s + -6(5r + -2s) = 0 9r + 8s + (5r * -6 + -2s * -6) = 0 9r + 8s + (-30r + 12s) = 0 Reorder the terms: 9r + -30r + 8s + 12s = 0 Combine like terms: 9r + -30r = -21r -21r + 8s + 12s = 0 Combine like terms: 8s + 12s = 20s -21r + 20s = 0 Solving -21r + 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. -21r + 20s + -20s = 0 + -20s Combine like terms: 20s + -20s = 0 -21r + 0 = 0 + -20s -21r = 0 + -20s Remove the zero: -21r = -20s Divide each side by '-21'. r = 0.9523809524s Simplifying r = 0.9523809524s
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