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Simplifying 7r + 2 = 5(r + 4) Reorder the terms: 2 + 7r = 5(r + 4) Reorder the terms: 2 + 7r = 5(4 + r) 2 + 7r = (4 * 5 + r * 5) 2 + 7r = (20 + 5r) Solving 2 + 7r = 20 + 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. 2 + 7r + -5r = 20 + 5r + -5r Combine like terms: 7r + -5r = 2r 2 + 2r = 20 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + 2r = 20 + 0 2 + 2r = 20 Add '-2' to each side of the equation. 2 + -2 + 2r = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 20 + -2 2r = 20 + -2 Combine like terms: 20 + -2 = 18 2r = 18 Divide each side by '2'. r = 9 Simplifying r = 9
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