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Simplifying 0.5r + 3(0.75r + -2) = 0.25r + 8 Reorder the terms: 0.5r + 3(-2 + 0.75r) = 0.25r + 8 0.5r + (-2 * 3 + 0.75r * 3) = 0.25r + 8 0.5r + (-6 + 2.25r) = 0.25r + 8 Reorder the terms: -6 + 0.5r + 2.25r = 0.25r + 8 Combine like terms: 0.5r + 2.25r = 2.75r -6 + 2.75r = 0.25r + 8 Reorder the terms: -6 + 2.75r = 8 + 0.25r Solving -6 + 2.75r = 8 + 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. -6 + 2.75r + -0.25r = 8 + 0.25r + -0.25r Combine like terms: 2.75r + -0.25r = 2.5r -6 + 2.5r = 8 + 0.25r + -0.25r Combine like terms: 0.25r + -0.25r = 0.00 -6 + 2.5r = 8 + 0.00 -6 + 2.5r = 8 Add '6' to each side of the equation. -6 + 6 + 2.5r = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5r = 8 + 6 2.5r = 8 + 6 Combine like terms: 8 + 6 = 14 2.5r = 14 Divide each side by '2.5'. r = 5.6 Simplifying r = 5.6
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