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Simplifying 2(3R + -1) = 5R + -3 Reorder the terms: 2(-1 + 3R) = 5R + -3 (-1 * 2 + 3R * 2) = 5R + -3 (-2 + 6R) = 5R + -3 Reorder the terms: -2 + 6R = -3 + 5R Solving -2 + 6R = -3 + 5R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-5R' to each side of the equation. -2 + 6R + -5R = -3 + 5R + -5R Combine like terms: 6R + -5R = 1R -2 + 1R = -3 + 5R + -5R Combine like terms: 5R + -5R = 0 -2 + 1R = -3 + 0 -2 + 1R = -3 Add '2' to each side of the equation. -2 + 2 + 1R = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 1R = -3 + 2 1R = -3 + 2 Combine like terms: -3 + 2 = -1 1R = -1 Divide each side by '1'. R = -1 Simplifying R = -1
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