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Simplifying 7r + 8(1 + -3r) = 0 7r + (1 * 8 + -3r * 8) = 0 7r + (8 + -24r) = 0 Reorder the terms: 8 + 7r + -24r = 0 Combine like terms: 7r + -24r = -17r 8 + -17r = 0 Solving 8 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -17r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -17r = 0 + -8 -17r = 0 + -8 Combine like terms: 0 + -8 = -8 -17r = -8 Divide each side by '-17'. r = 0.4705882353 Simplifying r = 0.4705882353
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