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Simplifying 3(r + 1.5) + -8r = 8.6 Reorder the terms: 3(1.5 + r) + -8r = 8.6 (1.5 * 3 + r * 3) + -8r = 8.6 (4.5 + 3r) + -8r = 8.6 Combine like terms: 3r + -8r = -5r 4.5 + -5r = 8.6 Solving 4.5 + -5r = 8.6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + -5r = 8.6 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -5r = 8.6 + -4.5 -5r = 8.6 + -4.5 Combine like terms: 8.6 + -4.5 = 4.1 -5r = 4.1 Divide each side by '-5'. r = -0.82 Simplifying r = -0.82
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