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Simplifying -2(9r + 9) + 10(8r + 3) = 0 Reorder the terms: -2(9 + 9r) + 10(8r + 3) = 0 (9 * -2 + 9r * -2) + 10(8r + 3) = 0 (-18 + -18r) + 10(8r + 3) = 0 Reorder the terms: -18 + -18r + 10(3 + 8r) = 0 -18 + -18r + (3 * 10 + 8r * 10) = 0 -18 + -18r + (30 + 80r) = 0 Reorder the terms: -18 + 30 + -18r + 80r = 0 Combine like terms: -18 + 30 = 12 12 + -18r + 80r = 0 Combine like terms: -18r + 80r = 62r 12 + 62r = 0 Solving 12 + 62r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 62r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 62r = 0 + -12 62r = 0 + -12 Combine like terms: 0 + -12 = -12 62r = -12 Divide each side by '62'. r = -0.1935483871 Simplifying r = -0.1935483871
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