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Simplifying -3(1 + 6r) = -3k + -39 (1 * -3 + 6r * -3) = -3k + -39 (-3 + -18r) = -3k + -39 Reorder the terms: -3 + -18r = -39 + -3k Solving -3 + -18r = -39 + -3k Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -18r = -39 + 3 + -3k Combine like terms: -3 + 3 = 0 0 + -18r = -39 + 3 + -3k -18r = -39 + 3 + -3k Combine like terms: -39 + 3 = -36 -18r = -36 + -3k Divide each side by '-18'. r = 2 + 0.1666666667k Simplifying r = 2 + 0.1666666667k
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