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Simplifying 8(7 + 7r) + -1(4r + 6) = 50 (7 * 8 + 7r * 8) + -1(4r + 6) = 50 (56 + 56r) + -1(4r + 6) = 50 Reorder the terms: 56 + 56r + -1(6 + 4r) = 50 56 + 56r + (6 * -1 + 4r * -1) = 50 56 + 56r + (-6 + -4r) = 50 Reorder the terms: 56 + -6 + 56r + -4r = 50 Combine like terms: 56 + -6 = 50 50 + 56r + -4r = 50 Combine like terms: 56r + -4r = 52r 50 + 52r = 50 Add '-50' to each side of the equation. 50 + -50 + 52r = 50 + -50 Combine like terms: 50 + -50 = 0 0 + 52r = 50 + -50 52r = 50 + -50 Combine like terms: 50 + -50 = 0 52r = 0 Solving 52r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '52'. r = 0 Simplifying r = 0
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