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