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Simplifying 5r + 8s + -9(7r + -7s) = 0 5r + 8s + (7r * -9 + -7s * -9) = 0 5r + 8s + (-63r + 63s) = 0 Reorder the terms: 5r + -63r + 8s + 63s = 0 Combine like terms: 5r + -63r = -58r -58r + 8s + 63s = 0 Combine like terms: 8s + 63s = 71s -58r + 71s = 0 Solving -58r + 71s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-71s' to each side of the equation. -58r + 71s + -71s = 0 + -71s Combine like terms: 71s + -71s = 0 -58r + 0 = 0 + -71s -58r = 0 + -71s Remove the zero: -58r = -71s Divide each side by '-58'. r = 1.224137931s Simplifying r = 1.224137931s
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