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Simplifying -3(-9k + 3) = -1(4 + 3k) Reorder the terms: -3(3 + -9k) = -1(4 + 3k) (3 * -3 + -9k * -3) = -1(4 + 3k) (-9 + 27k) = -1(4 + 3k) -9 + 27k = (4 * -1 + 3k * -1) -9 + 27k = (-4 + -3k) Solving -9 + 27k = -4 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -9 + 27k + 3k = -4 + -3k + 3k Combine like terms: 27k + 3k = 30k -9 + 30k = -4 + -3k + 3k Combine like terms: -3k + 3k = 0 -9 + 30k = -4 + 0 -9 + 30k = -4 Add '9' to each side of the equation. -9 + 9 + 30k = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 30k = -4 + 9 30k = -4 + 9 Combine like terms: -4 + 9 = 5 30k = 5 Divide each side by '30'. k = 0.1666666667 Simplifying k = 0.1666666667
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