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Simplifying 12r + -8s + 3r + 5s = 0 Reorder the terms: 12r + 3r + -8s + 5s = 0 Combine like terms: 12r + 3r = 15r 15r + -8s + 5s = 0 Combine like terms: -8s + 5s = -3s 15r + -3s = 0 Solving 15r + -3s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. 15r + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 15r + 0 = 0 + 3s 15r = 0 + 3s Remove the zero: 15r = 3s Divide each side by '15'. r = 0.2s Simplifying r = 0.2s
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