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Simplifying 10r + -2s + -5r + 8s = 0 Reorder the terms: 10r + -5r + -2s + 8s = 0 Combine like terms: 10r + -5r = 5r 5r + -2s + 8s = 0 Combine like terms: -2s + 8s = 6s 5r + 6s = 0 Solving 5r + 6s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6s' to each side of the equation. 5r + 6s + -6s = 0 + -6s Combine like terms: 6s + -6s = 0 5r + 0 = 0 + -6s 5r = 0 + -6s Remove the zero: 5r = -6s Divide each side by '5'. r = -1.2s Simplifying r = -1.2s
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