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Simplifying 7r + 26 = 3 + 8(6r + 8) Reorder the terms: 26 + 7r = 3 + 8(6r + 8) Reorder the terms: 26 + 7r = 3 + 8(8 + 6r) 26 + 7r = 3 + (8 * 8 + 6r * 8) 26 + 7r = 3 + (64 + 48r) Combine like terms: 3 + 64 = 67 26 + 7r = 67 + 48r Solving 26 + 7r = 67 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. 26 + 7r + -48r = 67 + 48r + -48r Combine like terms: 7r + -48r = -41r 26 + -41r = 67 + 48r + -48r Combine like terms: 48r + -48r = 0 26 + -41r = 67 + 0 26 + -41r = 67 Add '-26' to each side of the equation. 26 + -26 + -41r = 67 + -26 Combine like terms: 26 + -26 = 0 0 + -41r = 67 + -26 -41r = 67 + -26 Combine like terms: 67 + -26 = 41 -41r = 41 Divide each side by '-41'. r = -1 Simplifying r = -1
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