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Simplifying 1.5(1 + 3r) = 2 + -3r (1 * 1.5 + 3r * 1.5) = 2 + -3r (1.5 + 4.5r) = 2 + -3r Solving 1.5 + 4.5r = 2 + -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. 1.5 + 4.5r + 3r = 2 + -3r + 3r Combine like terms: 4.5r + 3r = 7.5r 1.5 + 7.5r = 2 + -3r + 3r Combine like terms: -3r + 3r = 0 1.5 + 7.5r = 2 + 0 1.5 + 7.5r = 2 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 7.5r = 2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 7.5r = 2 + -1.5 7.5r = 2 + -1.5 Combine like terms: 2 + -1.5 = 0.5 7.5r = 0.5 Divide each side by '7.5'. r = 0.06666666667 Simplifying r = 0.06666666667
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