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Simplifying -10(5r + 6) + 3(5r + 3) = 0 Reorder the terms: -10(6 + 5r) + 3(5r + 3) = 0 (6 * -10 + 5r * -10) + 3(5r + 3) = 0 (-60 + -50r) + 3(5r + 3) = 0 Reorder the terms: -60 + -50r + 3(3 + 5r) = 0 -60 + -50r + (3 * 3 + 5r * 3) = 0 -60 + -50r + (9 + 15r) = 0 Reorder the terms: -60 + 9 + -50r + 15r = 0 Combine like terms: -60 + 9 = -51 -51 + -50r + 15r = 0 Combine like terms: -50r + 15r = -35r -51 + -35r = 0 Solving -51 + -35r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -35r = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -35r = 0 + 51 -35r = 0 + 51 Combine like terms: 0 + 51 = 51 -35r = 51 Divide each side by '-35'. r = -1.457142857 Simplifying r = -1.457142857
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