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Simplifying 9 = R + 0.8(10 + -1R) 9 = R + (10 * 0.8 + -1R * 0.8) 9 = R + (8 + -0.8R) Reorder the terms: 9 = 8 + R + -0.8R Combine like terms: R + -0.8R = 0.2R 9 = 8 + 0.2R Solving 9 = 8 + 0.2R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-0.2R' to each side of the equation. 9 + -0.2R = 8 + 0.2R + -0.2R Combine like terms: 0.2R + -0.2R = 0.0 9 + -0.2R = 8 + 0.0 9 + -0.2R = 8 Add '-9' to each side of the equation. 9 + -9 + -0.2R = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2R = 8 + -9 -0.2R = 8 + -9 Combine like terms: 8 + -9 = -1 -0.2R = -1 Divide each side by '-0.2'. R = 5 Simplifying R = 5
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