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Simplifying -8(-1 + 7r) + 10(1 + 3r) = 0 (-1 * -8 + 7r * -8) + 10(1 + 3r) = 0 (8 + -56r) + 10(1 + 3r) = 0 8 + -56r + (1 * 10 + 3r * 10) = 0 8 + -56r + (10 + 30r) = 0 Reorder the terms: 8 + 10 + -56r + 30r = 0 Combine like terms: 8 + 10 = 18 18 + -56r + 30r = 0 Combine like terms: -56r + 30r = -26r 18 + -26r = 0 Solving 18 + -26r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -26r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -26r = 0 + -18 -26r = 0 + -18 Combine like terms: 0 + -18 = -18 -26r = -18 Divide each side by '-26'. r = 0.6923076923 Simplifying r = 0.6923076923
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