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Simplifying 0.5r + 2(0.75r + -1) = 0.25 + 6 Reorder the terms: 0.5r + 2(-1 + 0.75r) = 0.25 + 6 0.5r + (-1 * 2 + 0.75r * 2) = 0.25 + 6 0.5r + (-2 + 1.5r) = 0.25 + 6 Reorder the terms: -2 + 0.5r + 1.5r = 0.25 + 6 Combine like terms: 0.5r + 1.5r = 2r -2 + 2r = 0.25 + 6 Combine like terms: 0.25 + 6 = 6.25 -2 + 2r = 6.25 Solving -2 + 2r = 6.25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2r = 6.25 + 2 Combine like terms: -2 + 2 = 0 0 + 2r = 6.25 + 2 2r = 6.25 + 2 Combine like terms: 6.25 + 2 = 8.25 2r = 8.25 Divide each side by '2'. r = 4.125 Simplifying r = 4.125
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