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Simplifying 5(7r + 1) = 5 + 6r Reorder the terms: 5(1 + 7r) = 5 + 6r (1 * 5 + 7r * 5) = 5 + 6r (5 + 35r) = 5 + 6r Add '-5' to each side of the equation. 5 + -5 + 35r = 5 + -5 + 6r Combine like terms: 5 + -5 = 0 0 + 35r = 5 + -5 + 6r 35r = 5 + -5 + 6r Combine like terms: 5 + -5 = 0 35r = 0 + 6r 35r = 6r Solving 35r = 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. 35r + -6r = 6r + -6r Combine like terms: 35r + -6r = 29r 29r = 6r + -6r Combine like terms: 6r + -6r = 0 29r = 0 Divide each side by '29'. r = 0 Simplifying r = 0
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