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Simplifying 16.2 = R + 1.75(11 + -1R) 16.2 = R + (11 * 1.75 + -1R * 1.75) 16.2 = R + (19.25 + -1.75R) Reorder the terms: 16.2 = 19.25 + R + -1.75R Combine like terms: R + -1.75R = -0.75R 16.2 = 19.25 + -0.75R Solving 16.2 = 19.25 + -0.75R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '0.75R' to each side of the equation. 16.2 + 0.75R = 19.25 + -0.75R + 0.75R Combine like terms: -0.75R + 0.75R = 0.00 16.2 + 0.75R = 19.25 + 0.00 16.2 + 0.75R = 19.25 Add '-16.2' to each side of the equation. 16.2 + -16.2 + 0.75R = 19.25 + -16.2 Combine like terms: 16.2 + -16.2 = 0.0 0.0 + 0.75R = 19.25 + -16.2 0.75R = 19.25 + -16.2 Combine like terms: 19.25 + -16.2 = 3.05 0.75R = 3.05 Divide each side by '0.75'. R = 4.066666667 Simplifying R = 4.066666667
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