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Simplifying 3r + -2s + 7r + -5s = 0 Reorder the terms: 3r + 7r + -2s + -5s = 0 Combine like terms: 3r + 7r = 10r 10r + -2s + -5s = 0 Combine like terms: -2s + -5s = -7s 10r + -7s = 0 Solving 10r + -7s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7s' to each side of the equation. 10r + -7s + 7s = 0 + 7s Combine like terms: -7s + 7s = 0 10r + 0 = 0 + 7s 10r = 0 + 7s Remove the zero: 10r = 7s Divide each side by '10'. r = 0.7s Simplifying r = 0.7s
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