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Simplifying 6(6r + 6) + -5 = 1 + 6r Reorder the terms: 6(6 + 6r) + -5 = 1 + 6r (6 * 6 + 6r * 6) + -5 = 1 + 6r (36 + 36r) + -5 = 1 + 6r Reorder the terms: 36 + -5 + 36r = 1 + 6r Combine like terms: 36 + -5 = 31 31 + 36r = 1 + 6r Solving 31 + 36r = 1 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 31 + 36r + -6r = 1 + 6r + -6r Combine like terms: 36r + -6r = 30r 31 + 30r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 31 + 30r = 1 + 0 31 + 30r = 1 Add '-31' to each side of the equation. 31 + -31 + 30r = 1 + -31 Combine like terms: 31 + -31 = 0 0 + 30r = 1 + -31 30r = 1 + -31 Combine like terms: 1 + -31 = -30 30r = -30 Divide each side by '30'. r = -1 Simplifying r = -1
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