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Simplifying 12 + -5r + 7s + -3 + 8s + -6r = 0 Reorder the terms: 12 + -3 + -5r + -6r + 7s + 8s = 0 Combine like terms: 12 + -3 = 9 9 + -5r + -6r + 7s + 8s = 0 Combine like terms: -5r + -6r = -11r 9 + -11r + 7s + 8s = 0 Combine like terms: 7s + 8s = 15s 9 + -11r + 15s = 0 Solving 9 + -11r + 15s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -11r + -9 + 15s = 0 + -9 Reorder the terms: 9 + -9 + -11r + 15s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11r + 15s = 0 + -9 -11r + 15s = 0 + -9 Combine like terms: 0 + -9 = -9 -11r + 15s = -9 Add '-15s' to each side of the equation. -11r + 15s + -15s = -9 + -15s Combine like terms: 15s + -15s = 0 -11r + 0 = -9 + -15s -11r = -9 + -15s Divide each side by '-11'. r = 0.8181818182 + 1.363636364s Simplifying r = 0.8181818182 + 1.363636364s
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