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Simplifying 3(R + -2) = 9(R + 2) Reorder the terms: 3(-2 + R) = 9(R + 2) (-2 * 3 + R * 3) = 9(R + 2) (-6 + 3R) = 9(R + 2) Reorder the terms: -6 + 3R = 9(2 + R) -6 + 3R = (2 * 9 + R * 9) -6 + 3R = (18 + 9R) Solving -6 + 3R = 18 + 9R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-9R' to each side of the equation. -6 + 3R + -9R = 18 + 9R + -9R Combine like terms: 3R + -9R = -6R -6 + -6R = 18 + 9R + -9R Combine like terms: 9R + -9R = 0 -6 + -6R = 18 + 0 -6 + -6R = 18 Add '6' to each side of the equation. -6 + 6 + -6R = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6R = 18 + 6 -6R = 18 + 6 Combine like terms: 18 + 6 = 24 -6R = 24 Divide each side by '-6'. R = -4 Simplifying R = -4
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