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Simplifying 3(2R + -1) = 9(2R + -5) Reorder the terms: 3(-1 + 2R) = 9(2R + -5) (-1 * 3 + 2R * 3) = 9(2R + -5) (-3 + 6R) = 9(2R + -5) Reorder the terms: -3 + 6R = 9(-5 + 2R) -3 + 6R = (-5 * 9 + 2R * 9) -3 + 6R = (-45 + 18R) Solving -3 + 6R = -45 + 18R Solving for variable 'R'. Move all terms containing R to the left, all other terms to the right. Add '-18R' to each side of the equation. -3 + 6R + -18R = -45 + 18R + -18R Combine like terms: 6R + -18R = -12R -3 + -12R = -45 + 18R + -18R Combine like terms: 18R + -18R = 0 -3 + -12R = -45 + 0 -3 + -12R = -45 Add '3' to each side of the equation. -3 + 3 + -12R = -45 + 3 Combine like terms: -3 + 3 = 0 0 + -12R = -45 + 3 -12R = -45 + 3 Combine like terms: -45 + 3 = -42 -12R = -42 Divide each side by '-12'. R = 3.5 Simplifying R = 3.5
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