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Simplifying 5r + 12 = 3(r + 5) Reorder the terms: 12 + 5r = 3(r + 5) Reorder the terms: 12 + 5r = 3(5 + r) 12 + 5r = (5 * 3 + r * 3) 12 + 5r = (15 + 3r) Solving 12 + 5r = 15 + 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. 12 + 5r + -3r = 15 + 3r + -3r Combine like terms: 5r + -3r = 2r 12 + 2r = 15 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + 2r = 15 + 0 12 + 2r = 15 Add '-12' to each side of the equation. 12 + -12 + 2r = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 15 + -12 2r = 15 + -12 Combine like terms: 15 + -12 = 3 2r = 3 Divide each side by '2'. r = 1.5 Simplifying r = 1.5
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