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Simplifying 7(r + 7) = 5r + 5r Reorder the terms: 7(7 + r) = 5r + 5r (7 * 7 + r * 7) = 5r + 5r (49 + 7r) = 5r + 5r Combine like terms: 5r + 5r = 10r 49 + 7r = 10r Solving 49 + 7r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 49 + 7r + -10r = 10r + -10r Combine like terms: 7r + -10r = -3r 49 + -3r = 10r + -10r Combine like terms: 10r + -10r = 0 49 + -3r = 0 Add '-49' to each side of the equation. 49 + -49 + -3r = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -3r = 0 + -49 -3r = 0 + -49 Combine like terms: 0 + -49 = -49 -3r = -49 Divide each side by '-3'. r = 16.33333333 Simplifying r = 16.33333333
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