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Simplifying -5R + 2(2R + 1) = 2(5R + -1) + -7 Reorder the terms: -5R + 2(1 + 2R) = 2(5R + -1) + -7 -5R + (1 * 2 + 2R * 2) = 2(5R + -1) + -7 -5R + (2 + 4R) = 2(5R + -1) + -7 Reorder the terms: 2 + -5R + 4R = 2(5R + -1) + -7 Combine like terms: -5R + 4R = -1R 2 + -1R = 2(5R + -1) + -7 Reorder the terms: 2 + -1R = 2(-1 + 5R) + -7 2 + -1R = (-1 * 2 + 5R * 2) + -7 2 + -1R = (-2 + 10R) + -7 Reorder the terms: 2 + -1R = -2 + -7 + 10R Combine like terms: -2 + -7 = -9 2 + -1R = -9 + 10R Solving 2 + -1R = -9 + 10R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-10R' to each side of the equation. 2 + -1R + -10R = -9 + 10R + -10R Combine like terms: -1R + -10R = -11R 2 + -11R = -9 + 10R + -10R Combine like terms: 10R + -10R = 0 2 + -11R = -9 + 0 2 + -11R = -9 Add '-2' to each side of the equation. 2 + -2 + -11R = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -11R = -9 + -2 -11R = -9 + -2 Combine like terms: -9 + -2 = -11 -11R = -11 Divide each side by '-11'. R = 1 Simplifying R = 1
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