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Simplifying -9(R + 3) + -9R = -3R + -1(3 + -1R) + 8 Reorder the terms: -9(3 + R) + -9R = -3R + -1(3 + -1R) + 8 (3 * -9 + R * -9) + -9R = -3R + -1(3 + -1R) + 8 (-27 + -9R) + -9R = -3R + -1(3 + -1R) + 8 Combine like terms: -9R + -9R = -18R -27 + -18R = -3R + -1(3 + -1R) + 8 -27 + -18R = -3R + (3 * -1 + -1R * -1) + 8 -27 + -18R = -3R + (-3 + 1R) + 8 Reorder the terms: -27 + -18R = -3 + 8 + -3R + 1R Combine like terms: -3 + 8 = 5 -27 + -18R = 5 + -3R + 1R Combine like terms: -3R + 1R = -2R -27 + -18R = 5 + -2R Solving -27 + -18R = 5 + -2R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '2R' to each side of the equation. -27 + -18R + 2R = 5 + -2R + 2R Combine like terms: -18R + 2R = -16R -27 + -16R = 5 + -2R + 2R Combine like terms: -2R + 2R = 0 -27 + -16R = 5 + 0 -27 + -16R = 5 Add '27' to each side of the equation. -27 + 27 + -16R = 5 + 27 Combine like terms: -27 + 27 = 0 0 + -16R = 5 + 27 -16R = 5 + 27 Combine like terms: 5 + 27 = 32 -16R = 32 Divide each side by '-16'. R = -2 Simplifying R = -2
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