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Simplifying 7(r + 12) = 105 Reorder the terms: 7(12 + r) = 105 (12 * 7 + r * 7) = 105 (84 + 7r) = 105 Solving 84 + 7r = 105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 7r = 105 + -84 Combine like terms: 84 + -84 = 0 0 + 7r = 105 + -84 7r = 105 + -84 Combine like terms: 105 + -84 = 21 7r = 21 Divide each side by '7'. r = 3 Simplifying r = 3
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