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Simplifying -3(R + 7) = 5(3 + -1R) Reorder the terms: -3(7 + R) = 5(3 + -1R) (7 * -3 + R * -3) = 5(3 + -1R) (-21 + -3R) = 5(3 + -1R) -21 + -3R = (3 * 5 + -1R * 5) -21 + -3R = (15 + -5R) Solving -21 + -3R = 15 + -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. -21 + -3R + 5R = 15 + -5R + 5R Combine like terms: -3R + 5R = 2R -21 + 2R = 15 + -5R + 5R Combine like terms: -5R + 5R = 0 -21 + 2R = 15 + 0 -21 + 2R = 15 Add '21' to each side of the equation. -21 + 21 + 2R = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 2R = 15 + 21 2R = 15 + 21 Combine like terms: 15 + 21 = 36 2R = 36 Divide each side by '2'. R = 18 Simplifying R = 18
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