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Simplifying -42 + -3k = -12(k + 14) Reorder the terms: -42 + -3k = -12(14 + k) -42 + -3k = (14 * -12 + k * -12) -42 + -3k = (-168 + -12k) Solving -42 + -3k = -168 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -42 + -3k + 12k = -168 + -12k + 12k Combine like terms: -3k + 12k = 9k -42 + 9k = -168 + -12k + 12k Combine like terms: -12k + 12k = 0 -42 + 9k = -168 + 0 -42 + 9k = -168 Add '42' to each side of the equation. -42 + 42 + 9k = -168 + 42 Combine like terms: -42 + 42 = 0 0 + 9k = -168 + 42 9k = -168 + 42 Combine like terms: -168 + 42 = -126 9k = -126 Divide each side by '9'. k = -14 Simplifying k = -14
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