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Simplifying -6(8r + 3) + 3(10r + 5) = 0 Reorder the terms: -6(3 + 8r) + 3(10r + 5) = 0 (3 * -6 + 8r * -6) + 3(10r + 5) = 0 (-18 + -48r) + 3(10r + 5) = 0 Reorder the terms: -18 + -48r + 3(5 + 10r) = 0 -18 + -48r + (5 * 3 + 10r * 3) = 0 -18 + -48r + (15 + 30r) = 0 Reorder the terms: -18 + 15 + -48r + 30r = 0 Combine like terms: -18 + 15 = -3 -3 + -48r + 30r = 0 Combine like terms: -48r + 30r = -18r -3 + -18r = 0 Solving -3 + -18r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -18r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -18r = 0 + 3 -18r = 0 + 3 Combine like terms: 0 + 3 = 3 -18r = 3 Divide each side by '-18'. r = -0.1666666667 Simplifying r = -0.1666666667
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