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Simplifying 7(r + 2) = 2(r + 12) Reorder the terms: 7(2 + r) = 2(r + 12) (2 * 7 + r * 7) = 2(r + 12) (14 + 7r) = 2(r + 12) Reorder the terms: 14 + 7r = 2(12 + r) 14 + 7r = (12 * 2 + r * 2) 14 + 7r = (24 + 2r) Solving 14 + 7r = 24 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 14 + 7r + -2r = 24 + 2r + -2r Combine like terms: 7r + -2r = 5r 14 + 5r = 24 + 2r + -2r Combine like terms: 2r + -2r = 0 14 + 5r = 24 + 0 14 + 5r = 24 Add '-14' to each side of the equation. 14 + -14 + 5r = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 5r = 24 + -14 5r = 24 + -14 Combine like terms: 24 + -14 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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