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Simplifying 3r + 2(r + 7) = 3(r + 2) Reorder the terms: 3r + 2(7 + r) = 3(r + 2) 3r + (7 * 2 + r * 2) = 3(r + 2) 3r + (14 + 2r) = 3(r + 2) Reorder the terms: 14 + 3r + 2r = 3(r + 2) Combine like terms: 3r + 2r = 5r 14 + 5r = 3(r + 2) Reorder the terms: 14 + 5r = 3(2 + r) 14 + 5r = (2 * 3 + r * 3) 14 + 5r = (6 + 3r) Solving 14 + 5r = 6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 14 + 5r + -3r = 6 + 3r + -3r Combine like terms: 5r + -3r = 2r 14 + 2r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 14 + 2r = 6 + 0 14 + 2r = 6 Add '-14' to each side of the equation. 14 + -14 + 2r = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = 6 + -14 2r = 6 + -14 Combine like terms: 6 + -14 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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