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Simplifying -10r + 9s + 4 + r + -1s + -12 = 0 Reorder the terms: 4 + -12 + -10r + r + 9s + -1s = 0 Combine like terms: 4 + -12 = -8 -8 + -10r + r + 9s + -1s = 0 Combine like terms: -10r + r = -9r -8 + -9r + 9s + -1s = 0 Combine like terms: 9s + -1s = 8s -8 + -9r + 8s = 0 Solving -8 + -9r + 8s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -9r + 8 + 8s = 0 + 8 Reorder the terms: -8 + 8 + -9r + 8s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9r + 8s = 0 + 8 -9r + 8s = 0 + 8 Combine like terms: 0 + 8 = 8 -9r + 8s = 8 Add '-8s' to each side of the equation. -9r + 8s + -8s = 8 + -8s Combine like terms: 8s + -8s = 0 -9r + 0 = 8 + -8s -9r = 8 + -8s Divide each side by '-9'. r = -0.8888888889 + 0.8888888889s Simplifying r = -0.8888888889 + 0.8888888889s
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