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Simplifying -6.2(10r + 9) + 3.2(7r + 5) = 0 Reorder the terms: -6.2(9 + 10r) + 3.2(7r + 5) = 0 (9 * -6.2 + 10r * -6.2) + 3.2(7r + 5) = 0 (-55.8 + -62r) + 3.2(7r + 5) = 0 Reorder the terms: -55.8 + -62r + 3.2(5 + 7r) = 0 -55.8 + -62r + (5 * 3.2 + 7r * 3.2) = 0 -55.8 + -62r + (16 + 22.4r) = 0 Reorder the terms: -55.8 + 16 + -62r + 22.4r = 0 Combine like terms: -55.8 + 16 = -39.8 -39.8 + -62r + 22.4r = 0 Combine like terms: -62r + 22.4r = -39.6r -39.8 + -39.6r = 0 Solving -39.8 + -39.6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '39.8' to each side of the equation. -39.8 + 39.8 + -39.6r = 0 + 39.8 Combine like terms: -39.8 + 39.8 = 0.0 0.0 + -39.6r = 0 + 39.8 -39.6r = 0 + 39.8 Combine like terms: 0 + 39.8 = 39.8 -39.6r = 39.8 Divide each side by '-39.6'. r = -1.005050505 Simplifying r = -1.005050505
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