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Simplifying 0.5r + -1(-4 + -2r) = 6.5 0.5r + (-4 * -1 + -2r * -1) = 6.5 0.5r + (4 + 2r) = 6.5 Reorder the terms: 4 + 0.5r + 2r = 6.5 Combine like terms: 0.5r + 2r = 2.5r 4 + 2.5r = 6.5 Solving 4 + 2.5r = 6.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2.5r = 6.5 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5r = 6.5 + -4 2.5r = 6.5 + -4 Combine like terms: 6.5 + -4 = 2.5 2.5r = 2.5 Divide each side by '2.5'. r = 1 Simplifying r = 1
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