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Simplifying -6(3 + 12R) = 11R + -6(R + 3) (3 * -6 + 12R * -6) = 11R + -6(R + 3) (-18 + -72R) = 11R + -6(R + 3) Reorder the terms: -18 + -72R = 11R + -6(3 + R) -18 + -72R = 11R + (3 * -6 + R * -6) -18 + -72R = 11R + (-18 + -6R) Reorder the terms: -18 + -72R = -18 + 11R + -6R Combine like terms: 11R + -6R = 5R -18 + -72R = -18 + 5R Add '18' to each side of the equation. -18 + 18 + -72R = -18 + 18 + 5R Combine like terms: -18 + 18 = 0 0 + -72R = -18 + 18 + 5R -72R = -18 + 18 + 5R Combine like terms: -18 + 18 = 0 -72R = 0 + 5R -72R = 5R Solving -72R = 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. -72R + -5R = 5R + -5R Combine like terms: -72R + -5R = -77R -77R = 5R + -5R Combine like terms: 5R + -5R = 0 -77R = 0 Divide each side by '-77'. R = 0 Simplifying R = 0
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