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Simplifying 0.8R + 1 = 0.08R + 1.54 Reorder the terms: 1 + 0.8R = 0.08R + 1.54 Reorder the terms: 1 + 0.8R = 1.54 + 0.08R Solving 1 + 0.8R = 1.54 + 0.08R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-0.08R' to each side of the equation. 1 + 0.8R + -0.08R = 1.54 + 0.08R + -0.08R Combine like terms: 0.8R + -0.08R = 0.72R 1 + 0.72R = 1.54 + 0.08R + -0.08R Combine like terms: 0.08R + -0.08R = 0.00 1 + 0.72R = 1.54 + 0.00 1 + 0.72R = 1.54 Add '-1' to each side of the equation. 1 + -1 + 0.72R = 1.54 + -1 Combine like terms: 1 + -1 = 0 0 + 0.72R = 1.54 + -1 0.72R = 1.54 + -1 Combine like terms: 1.54 + -1 = 0.54 0.72R = 0.54 Divide each side by '0.72'. R = 0.75 Simplifying R = 0.75
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