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Simplifying 8r + 8s + -7(7r + -7s) = 0 8r + 8s + (7r * -7 + -7s * -7) = 0 8r + 8s + (-49r + 49s) = 0 Reorder the terms: 8r + -49r + 8s + 49s = 0 Combine like terms: 8r + -49r = -41r -41r + 8s + 49s = 0 Combine like terms: 8s + 49s = 57s -41r + 57s = 0 Solving -41r + 57s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-57s' to each side of the equation. -41r + 57s + -57s = 0 + -57s Combine like terms: 57s + -57s = 0 -41r + 0 = 0 + -57s -41r = 0 + -57s Remove the zero: -41r = -57s Divide each side by '-41'. r = 1.390243902s Simplifying r = 1.390243902s
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