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Simplifying 7(r + 8) = 105 Reorder the terms: 7(8 + r) = 105 (8 * 7 + r * 7) = 105 (56 + 7r) = 105 Solving 56 + 7r = 105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 7r = 105 + -56 Combine like terms: 56 + -56 = 0 0 + 7r = 105 + -56 7r = 105 + -56 Combine like terms: 105 + -56 = 49 7r = 49 Divide each side by '7'. r = 7 Simplifying r = 7
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