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Simplifying 0.5r + 0.25(t + 16) = 4 + 0.75t Reorder the terms: 0.5r + 0.25(16 + t) = 4 + 0.75t 0.5r + (16 * 0.25 + t * 0.25) = 4 + 0.75t 0.5r + (4 + 0.25t) = 4 + 0.75t Reorder the terms: 4 + 0.5r + 0.25t = 4 + 0.75t Add '-4' to each side of the equation. 4 + 0.5r + -4 + 0.25t = 4 + -4 + 0.75t Reorder the terms: 4 + -4 + 0.5r + 0.25t = 4 + -4 + 0.75t Combine like terms: 4 + -4 = 0 0 + 0.5r + 0.25t = 4 + -4 + 0.75t 0.5r + 0.25t = 4 + -4 + 0.75t Combine like terms: 4 + -4 = 0 0.5r + 0.25t = 0 + 0.75t 0.5r + 0.25t = 0.75t Solving 0.5r + 0.25t = 0.75t Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.25t' to each side of the equation. 0.5r + 0.25t + -0.25t = 0.75t + -0.25t Combine like terms: 0.25t + -0.25t = 0.00 0.5r + 0.00 = 0.75t + -0.25t 0.5r = 0.75t + -0.25t Combine like terms: 0.75t + -0.25t = 0.5t 0.5r = 0.5t Divide each side by '0.5'. r = t Simplifying r = t
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