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Simplifying 0.5r + -3 = 3(4 + -1.5r) Reorder the terms: -3 + 0.5r = 3(4 + -1.5r) -3 + 0.5r = (4 * 3 + -1.5r * 3) -3 + 0.5r = (12 + -4.5r) Solving -3 + 0.5r = 12 + -4.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4.5r' to each side of the equation. -3 + 0.5r + 4.5r = 12 + -4.5r + 4.5r Combine like terms: 0.5r + 4.5r = 5r -3 + 5r = 12 + -4.5r + 4.5r Combine like terms: -4.5r + 4.5r = 0.0 -3 + 5r = 12 + 0.0 -3 + 5r = 12 Add '3' to each side of the equation. -3 + 3 + 5r = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5r = 12 + 3 5r = 12 + 3 Combine like terms: 12 + 3 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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