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Simplifying 7(r + 6) = 34 Reorder the terms: 7(6 + r) = 34 (6 * 7 + r * 7) = 34 (42 + 7r) = 34 Solving 42 + 7r = 34 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7r = 34 + -42 Combine like terms: 42 + -42 = 0 0 + 7r = 34 + -42 7r = 34 + -42 Combine like terms: 34 + -42 = -8 7r = -8 Divide each side by '7'. r = -1.142857143 Simplifying r = -1.142857143
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