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Simplifying 10r + 5(1 + 5r) = 0 10r + (1 * 5 + 5r * 5) = 0 10r + (5 + 25r) = 0 Reorder the terms: 5 + 10r + 25r = 0 Combine like terms: 10r + 25r = 35r 5 + 35r = 0 Solving 5 + 35r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 35r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 35r = 0 + -5 35r = 0 + -5 Combine like terms: 0 + -5 = -5 35r = -5 Divide each side by '35'. r = -0.1428571429 Simplifying r = -0.1428571429
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