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Simplifying -2(3k + 6) + -3k = -66 Reorder the terms: -2(6 + 3k) + -3k = -66 (6 * -2 + 3k * -2) + -3k = -66 (-12 + -6k) + -3k = -66 Combine like terms: -6k + -3k = -9k -12 + -9k = -66 Solving -12 + -9k = -66 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -9k = -66 + 12 Combine like terms: -12 + 12 = 0 0 + -9k = -66 + 12 -9k = -66 + 12 Combine like terms: -66 + 12 = -54 -9k = -54 Divide each side by '-9'. k = 6 Simplifying k = 6
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