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Simplifying -3(1 + 3k) = -3(6 + 4k) (1 * -3 + 3k * -3) = -3(6 + 4k) (-3 + -9k) = -3(6 + 4k) -3 + -9k = (6 * -3 + 4k * -3) -3 + -9k = (-18 + -12k) Solving -3 + -9k = -18 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -3 + -9k + 12k = -18 + -12k + 12k Combine like terms: -9k + 12k = 3k -3 + 3k = -18 + -12k + 12k Combine like terms: -12k + 12k = 0 -3 + 3k = -18 + 0 -3 + 3k = -18 Add '3' to each side of the equation. -3 + 3 + 3k = -18 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = -18 + 3 3k = -18 + 3 Combine like terms: -18 + 3 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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