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Simplifying r + 7 + 7(10r + 2) = 0 Reorder the terms: r + 7 + 7(2 + 10r) = 0 r + 7 + (2 * 7 + 10r * 7) = 0 r + 7 + (14 + 70r) = 0 Reorder the terms: 7 + 14 + r + 70r = 0 Combine like terms: 7 + 14 = 21 21 + r + 70r = 0 Combine like terms: r + 70r = 71r 21 + 71r = 0 Solving 21 + 71r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 71r = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 71r = 0 + -21 71r = 0 + -21 Combine like terms: 0 + -21 = -21 71r = -21 Divide each side by '71'. r = -0.2957746479 Simplifying r = -0.2957746479
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