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Simplifying -2(3 + 4k) = k + 12 (3 * -2 + 4k * -2) = k + 12 (-6 + -8k) = k + 12 Reorder the terms: -6 + -8k = 12 + k Solving -6 + -8k = 12 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -6 + -8k + -1k = 12 + k + -1k Combine like terms: -8k + -1k = -9k -6 + -9k = 12 + k + -1k Combine like terms: k + -1k = 0 -6 + -9k = 12 + 0 -6 + -9k = 12 Add '6' to each side of the equation. -6 + 6 + -9k = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9k = 12 + 6 -9k = 12 + 6 Combine like terms: 12 + 6 = 18 -9k = 18 Divide each side by '-9'. k = -2 Simplifying k = -2
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