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Simplifying 5(4 + r) = 3(2 + r) (4 * 5 + r * 5) = 3(2 + r) (20 + 5r) = 3(2 + r) 20 + 5r = (2 * 3 + r * 3) 20 + 5r = (6 + 3r) Solving 20 + 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. 20 + 5r + -3r = 6 + 3r + -3r Combine like terms: 5r + -3r = 2r 20 + 2r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 20 + 2r = 6 + 0 20 + 2r = 6 Add '-20' to each side of the equation. 20 + -20 + 2r = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 2r = 6 + -20 2r = 6 + -20 Combine like terms: 6 + -20 = -14 2r = -14 Divide each side by '2'. r = -7 Simplifying r = -7
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