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Simplifying -6(6r + 3) + 5(r + 5) = 69 Reorder the terms: -6(3 + 6r) + 5(r + 5) = 69 (3 * -6 + 6r * -6) + 5(r + 5) = 69 (-18 + -36r) + 5(r + 5) = 69 Reorder the terms: -18 + -36r + 5(5 + r) = 69 -18 + -36r + (5 * 5 + r * 5) = 69 -18 + -36r + (25 + 5r) = 69 Reorder the terms: -18 + 25 + -36r + 5r = 69 Combine like terms: -18 + 25 = 7 7 + -36r + 5r = 69 Combine like terms: -36r + 5r = -31r 7 + -31r = 69 Solving 7 + -31r = 69 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -31r = 69 + -7 Combine like terms: 7 + -7 = 0 0 + -31r = 69 + -7 -31r = 69 + -7 Combine like terms: 69 + -7 = 62 -31r = 62 Divide each side by '-31'. r = -2 Simplifying r = -2
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