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Simplifying 0.5r + 2(0.75 + -1) = 0.25 + 6 Combine like terms: 0.75 + -1 = -0.25 0.5r + 2(-0.25) = 0.25 + 6 Multiply 2 * -0.25 0.5r + -0.5 = 0.25 + 6 Reorder the terms: -0.5 + 0.5r = 0.25 + 6 Combine like terms: 0.25 + 6 = 6.25 -0.5 + 0.5r = 6.25 Solving -0.5 + 0.5r = 6.25 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.5r = 6.25 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.5r = 6.25 + 0.5 0.5r = 6.25 + 0.5 Combine like terms: 6.25 + 0.5 = 6.75 0.5r = 6.75 Divide each side by '0.5'. r = 13.5 Simplifying r = 13.5
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