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Simplifying 4R + -1[2r + -1(3R + -4r)] = 0 4R + -1[2r + (3R * -1 + -4r * -1)] = 0 4R + -1[2r + (-3R + 4r)] = 0 Reorder the terms: 4R + -1[-3R + 2r + 4r] = 0 Combine like terms: 2r + 4r = 6r 4R + -1[-3R + 6r] = 0 4R + [-3R * -1 + 6r * -1] = 0 4R + [3R + -6r] = 0 Combine like terms: 4R + 3R = 7R 7R + -6r = 0 Solving 7R + -6r = 0 Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '6r' to each side of the equation. 7R + -6r + 6r = 0 + 6r Combine like terms: -6r + 6r = 0 7R + 0 = 0 + 6r 7R = 0 + 6r Remove the zero: 7R = 6r Divide each side by '7'. R = 0.8571428571r Simplifying R = 0.8571428571r
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