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Simplifying 3(8r + 8) + 10(2r + 9) = 0 Reorder the terms: 3(8 + 8r) + 10(2r + 9) = 0 (8 * 3 + 8r * 3) + 10(2r + 9) = 0 (24 + 24r) + 10(2r + 9) = 0 Reorder the terms: 24 + 24r + 10(9 + 2r) = 0 24 + 24r + (9 * 10 + 2r * 10) = 0 24 + 24r + (90 + 20r) = 0 Reorder the terms: 24 + 90 + 24r + 20r = 0 Combine like terms: 24 + 90 = 114 114 + 24r + 20r = 0 Combine like terms: 24r + 20r = 44r 114 + 44r = 0 Solving 114 + 44r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-114' to each side of the equation. 114 + -114 + 44r = 0 + -114 Combine like terms: 114 + -114 = 0 0 + 44r = 0 + -114 44r = 0 + -114 Combine like terms: 0 + -114 = -114 44r = -114 Divide each side by '44'. r = -2.590909091 Simplifying r = -2.590909091
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