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Simplifying 3r + 8 + 7r = 3(5 + 2r) Reorder the terms: 8 + 3r + 7r = 3(5 + 2r) Combine like terms: 3r + 7r = 10r 8 + 10r = 3(5 + 2r) 8 + 10r = (5 * 3 + 2r * 3) 8 + 10r = (15 + 6r) Solving 8 + 10r = 15 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 8 + 10r + -6r = 15 + 6r + -6r Combine like terms: 10r + -6r = 4r 8 + 4r = 15 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + 4r = 15 + 0 8 + 4r = 15 Add '-8' to each side of the equation. 8 + -8 + 4r = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 4r = 15 + -8 4r = 15 + -8 Combine like terms: 15 + -8 = 7 4r = 7 Divide each side by '4'. r = 1.75 Simplifying r = 1.75
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