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Simplifying -6(r + -4) + 7(7r + 5) = 69 Reorder the terms: -6(-4 + r) + 7(7r + 5) = 69 (-4 * -6 + r * -6) + 7(7r + 5) = 69 (24 + -6r) + 7(7r + 5) = 69 Reorder the terms: 24 + -6r + 7(5 + 7r) = 69 24 + -6r + (5 * 7 + 7r * 7) = 69 24 + -6r + (35 + 49r) = 69 Reorder the terms: 24 + 35 + -6r + 49r = 69 Combine like terms: 24 + 35 = 59 59 + -6r + 49r = 69 Combine like terms: -6r + 49r = 43r 59 + 43r = 69 Solving 59 + 43r = 69 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 43r = 69 + -59 Combine like terms: 59 + -59 = 0 0 + 43r = 69 + -59 43r = 69 + -59 Combine like terms: 69 + -59 = 10 43r = 10 Divide each side by '43'. r = 0.2325581395 Simplifying r = 0.2325581395
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