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Simplifying 7r + 5s + -5(5r + -7s) = 0 7r + 5s + (5r * -5 + -7s * -5) = 0 7r + 5s + (-25r + 35s) = 0 Reorder the terms: 7r + -25r + 5s + 35s = 0 Combine like terms: 7r + -25r = -18r -18r + 5s + 35s = 0 Combine like terms: 5s + 35s = 40s -18r + 40s = 0 Solving -18r + 40s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40s' to each side of the equation. -18r + 40s + -40s = 0 + -40s Combine like terms: 40s + -40s = 0 -18r + 0 = 0 + -40s -18r = 0 + -40s Remove the zero: -18r = -40s Divide each side by '-18'. r = 2.222222222s Simplifying r = 2.222222222s
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