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Simplifying 7r + 9s + -8(3r + -9s) = 0 7r + 9s + (3r * -8 + -9s * -8) = 0 7r + 9s + (-24r + 72s) = 0 Reorder the terms: 7r + -24r + 9s + 72s = 0 Combine like terms: 7r + -24r = -17r -17r + 9s + 72s = 0 Combine like terms: 9s + 72s = 81s -17r + 81s = 0 Solving -17r + 81s = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-81s' to each side of the equation. -17r + 81s + -81s = 0 + -81s Combine like terms: 81s + -81s = 0 -17r + 0 = 0 + -81s -17r = 0 + -81s Remove the zero: -17r = -81s Divide each side by '-17'. r = 4.764705882s Simplifying r = 4.764705882s
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