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Simplifying 105 = 7(7 + -1r) 105 = (7 * 7 + -1r * 7) 105 = (49 + -7r) Solving 105 = 49 + -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 = 49 + -7r + 7r Combine like terms: -7r + 7r = 0 105 + 7r = 49 + 0 105 + 7r = 49 Add '-105' to each side of the equation. 105 + -105 + 7r = 49 + -105 Combine like terms: 105 + -105 = 0 0 + 7r = 49 + -105 7r = 49 + -105 Combine like terms: 49 + -105 = -56 7r = -56 Divide each side by '7'. r = -8 Simplifying r = -8
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