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Simplifying 3r + 2s + -9r + -8 + 7s + -12 + r = 0 Reorder the terms: -8 + -12 + 3r + -9r + r + 2s + 7s = 0 Combine like terms: -8 + -12 = -20 -20 + 3r + -9r + r + 2s + 7s = 0 Combine like terms: 3r + -9r = -6r -20 + -6r + r + 2s + 7s = 0 Combine like terms: -6r + r = -5r -20 + -5r + 2s + 7s = 0 Combine like terms: 2s + 7s = 9s -20 + -5r + 9s = 0 Solving -20 + -5r + 9s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -5r + 20 + 9s = 0 + 20 Reorder the terms: -20 + 20 + -5r + 9s = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -5r + 9s = 0 + 20 -5r + 9s = 0 + 20 Combine like terms: 0 + 20 = 20 -5r + 9s = 20 Add '-9s' to each side of the equation. -5r + 9s + -9s = 20 + -9s Combine like terms: 9s + -9s = 0 -5r + 0 = 20 + -9s -5r = 20 + -9s Divide each side by '-5'. r = -4 + 1.8s Simplifying r = -4 + 1.8s
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