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Simplifying -3(2k + 5) = -9(k + 4) Reorder the terms: -3(5 + 2k) = -9(k + 4) (5 * -3 + 2k * -3) = -9(k + 4) (-15 + -6k) = -9(k + 4) Reorder the terms: -15 + -6k = -9(4 + k) -15 + -6k = (4 * -9 + k * -9) -15 + -6k = (-36 + -9k) Solving -15 + -6k = -36 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -15 + -6k + 9k = -36 + -9k + 9k Combine like terms: -6k + 9k = 3k -15 + 3k = -36 + -9k + 9k Combine like terms: -9k + 9k = 0 -15 + 3k = -36 + 0 -15 + 3k = -36 Add '15' to each side of the equation. -15 + 15 + 3k = -36 + 15 Combine like terms: -15 + 15 = 0 0 + 3k = -36 + 15 3k = -36 + 15 Combine like terms: -36 + 15 = -21 3k = -21 Divide each side by '3'. k = -7 Simplifying k = -7
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