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Simplifying -3(-3k + 4) + -4 = -52 Reorder the terms: -3(4 + -3k) + -4 = -52 (4 * -3 + -3k * -3) + -4 = -52 (-12 + 9k) + -4 = -52 Reorder the terms: -12 + -4 + 9k = -52 Combine like terms: -12 + -4 = -16 -16 + 9k = -52 Solving -16 + 9k = -52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9k = -52 + 16 Combine like terms: -16 + 16 = 0 0 + 9k = -52 + 16 9k = -52 + 16 Combine like terms: -52 + 16 = -36 9k = -36 Divide each side by '9'. k = -4 Simplifying k = -4
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