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Simplifying 0.5r + 2(0.75r + -1) = 0.25r + 6 Reorder the terms: 0.5r + 2(-1 + 0.75r) = 0.25r + 6 0.5r + (-1 * 2 + 0.75r * 2) = 0.25r + 6 0.5r + (-2 + 1.5r) = 0.25r + 6 Reorder the terms: -2 + 0.5r + 1.5r = 0.25r + 6 Combine like terms: 0.5r + 1.5r = 2r -2 + 2r = 0.25r + 6 Reorder the terms: -2 + 2r = 6 + 0.25r Solving -2 + 2r = 6 + 0.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.25r' to each side of the equation. -2 + 2r + -0.25r = 6 + 0.25r + -0.25r Combine like terms: 2r + -0.25r = 1.75r -2 + 1.75r = 6 + 0.25r + -0.25r Combine like terms: 0.25r + -0.25r = 0.00 -2 + 1.75r = 6 + 0.00 -2 + 1.75r = 6 Add '2' to each side of the equation. -2 + 2 + 1.75r = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1.75r = 6 + 2 1.75r = 6 + 2 Combine like terms: 6 + 2 = 8 1.75r = 8 Divide each side by '1.75'. r = 4.571428571 Simplifying r = 4.571428571
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