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Simplifying 2(3k + -1) = -6(3 + 9k) Reorder the terms: 2(-1 + 3k) = -6(3 + 9k) (-1 * 2 + 3k * 2) = -6(3 + 9k) (-2 + 6k) = -6(3 + 9k) -2 + 6k = (3 * -6 + 9k * -6) -2 + 6k = (-18 + -54k) Solving -2 + 6k = -18 + -54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54k' to each side of the equation. -2 + 6k + 54k = -18 + -54k + 54k Combine like terms: 6k + 54k = 60k -2 + 60k = -18 + -54k + 54k Combine like terms: -54k + 54k = 0 -2 + 60k = -18 + 0 -2 + 60k = -18 Add '2' to each side of the equation. -2 + 2 + 60k = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 60k = -18 + 2 60k = -18 + 2 Combine like terms: -18 + 2 = -16 60k = -16 Divide each side by '60'. k = -0.2666666667 Simplifying k = -0.2666666667
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