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Simplifying 113 = 7(1 + 7r) + 8 113 = (1 * 7 + 7r * 7) + 8 113 = (7 + 49r) + 8 Reorder the terms: 113 = 7 + 8 + 49r Combine like terms: 7 + 8 = 15 113 = 15 + 49r Solving 113 = 15 + 49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49r' to each side of the equation. 113 + -49r = 15 + 49r + -49r Combine like terms: 49r + -49r = 0 113 + -49r = 15 + 0 113 + -49r = 15 Add '-113' to each side of the equation. 113 + -113 + -49r = 15 + -113 Combine like terms: 113 + -113 = 0 0 + -49r = 15 + -113 -49r = 15 + -113 Combine like terms: 15 + -113 = -98 -49r = -98 Divide each side by '-49'. r = 2 Simplifying r = 2
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