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Simplifying 2(3R + -2) = 4(R + 4) Reorder the terms: 2(-2 + 3R) = 4(R + 4) (-2 * 2 + 3R * 2) = 4(R + 4) (-4 + 6R) = 4(R + 4) Reorder the terms: -4 + 6R = 4(4 + R) -4 + 6R = (4 * 4 + R * 4) -4 + 6R = (16 + 4R) Solving -4 + 6R = 16 + 4R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-4R' to each side of the equation. -4 + 6R + -4R = 16 + 4R + -4R Combine like terms: 6R + -4R = 2R -4 + 2R = 16 + 4R + -4R Combine like terms: 4R + -4R = 0 -4 + 2R = 16 + 0 -4 + 2R = 16 Add '4' to each side of the equation. -4 + 4 + 2R = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 2R = 16 + 4 2R = 16 + 4 Combine like terms: 16 + 4 = 20 2R = 20 Divide each side by '2'. R = 10 Simplifying R = 10
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