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Simplifying -5(7r + 2) + 2(4r + 9) = 0 Reorder the terms: -5(2 + 7r) + 2(4r + 9) = 0 (2 * -5 + 7r * -5) + 2(4r + 9) = 0 (-10 + -35r) + 2(4r + 9) = 0 Reorder the terms: -10 + -35r + 2(9 + 4r) = 0 -10 + -35r + (9 * 2 + 4r * 2) = 0 -10 + -35r + (18 + 8r) = 0 Reorder the terms: -10 + 18 + -35r + 8r = 0 Combine like terms: -10 + 18 = 8 8 + -35r + 8r = 0 Combine like terms: -35r + 8r = -27r 8 + -27r = 0 Solving 8 + -27r = 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 + -27r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -27r = 0 + -8 -27r = 0 + -8 Combine like terms: 0 + -8 = -8 -27r = -8 Divide each side by '-27'. r = 0.2962962963 Simplifying r = 0.2962962963
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