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Simplifying 3 + 2R + -2 = 7R + 5 + -3R Reorder the terms: 3 + -2 + 2R = 7R + 5 + -3R Combine like terms: 3 + -2 = 1 1 + 2R = 7R + 5 + -3R Reorder the terms: 1 + 2R = 5 + 7R + -3R Combine like terms: 7R + -3R = 4R 1 + 2R = 5 + 4R Solving 1 + 2R = 5 + 4R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-4R' to each side of the equation. 1 + 2R + -4R = 5 + 4R + -4R Combine like terms: 2R + -4R = -2R 1 + -2R = 5 + 4R + -4R Combine like terms: 4R + -4R = 0 1 + -2R = 5 + 0 1 + -2R = 5 Add '-1' to each side of the equation. 1 + -1 + -2R = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -2R = 5 + -1 -2R = 5 + -1 Combine like terms: 5 + -1 = 4 -2R = 4 Divide each side by '-2'. R = -2 Simplifying R = -2
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