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