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Simplifying 5r + 2 = 3(r + 4) Reorder the terms: 2 + 5r = 3(r + 4) Reorder the terms: 2 + 5r = 3(4 + r) 2 + 5r = (4 * 3 + r * 3) 2 + 5r = (12 + 3r) Solving 2 + 5r = 12 + 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. 2 + 5r + -3r = 12 + 3r + -3r Combine like terms: 5r + -3r = 2r 2 + 2r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + 2r = 12 + 0 2 + 2r = 12 Add '-2' to each side of the equation. 2 + -2 + 2r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = 12 + -2 2r = 12 + -2 Combine like terms: 12 + -2 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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