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Simplifying 7(r + 7) = 5r + 50 Reorder the terms: 7(7 + r) = 5r + 50 (7 * 7 + r * 7) = 5r + 50 (49 + 7r) = 5r + 50 Reorder the terms: 49 + 7r = 50 + 5r Solving 49 + 7r = 50 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 49 + 7r + -5r = 50 + 5r + -5r Combine like terms: 7r + -5r = 2r 49 + 2r = 50 + 5r + -5r Combine like terms: 5r + -5r = 0 49 + 2r = 50 + 0 49 + 2r = 50 Add '-49' to each side of the equation. 49 + -49 + 2r = 50 + -49 Combine like terms: 49 + -49 = 0 0 + 2r = 50 + -49 2r = 50 + -49 Combine like terms: 50 + -49 = 1 2r = 1 Divide each side by '2'. r = 0.5 Simplifying r = 0.5
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