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Simplifying 3.5r = 3(4 + 0.5r) 3.5r = (4 * 3 + 0.5r * 3) 3.5r = (12 + 1.5r) Solving 3.5r = 12 + 1.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.5r' to each side of the equation. 3.5r + -1.5r = 12 + 1.5r + -1.5r Combine like terms: 3.5r + -1.5r = 2r 2r = 12 + 1.5r + -1.5r Combine like terms: 1.5r + -1.5r = 0.0 2r = 12 + 0.0 2r = 12 Divide each side by '2'. r = 6 Simplifying r = 6
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