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Simplifying -6(8r + 3) + 3(10 + 5) = 0 Reorder the terms: -6(3 + 8r) + 3(10 + 5) = 0 (3 * -6 + 8r * -6) + 3(10 + 5) = 0 (-18 + -48r) + 3(10 + 5) = 0 Combine like terms: 10 + 5 = 15 -18 + -48r + 3(15) = 0 Multiply 3 * 15 -18 + -48r + 45 = 0 Reorder the terms: -18 + 45 + -48r = 0 Combine like terms: -18 + 45 = 27 27 + -48r = 0 Solving 27 + -48r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -48r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -48r = 0 + -27 -48r = 0 + -27 Combine like terms: 0 + -27 = -27 -48r = -27 Divide each side by '-48'. r = 0.5625 Simplifying r = 0.5625
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