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Simplifying -3(-7 + -4k) = 11 + 2k (-7 * -3 + -4k * -3) = 11 + 2k (21 + 12k) = 11 + 2k Solving 21 + 12k = 11 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 21 + 12k + -2k = 11 + 2k + -2k Combine like terms: 12k + -2k = 10k 21 + 10k = 11 + 2k + -2k Combine like terms: 2k + -2k = 0 21 + 10k = 11 + 0 21 + 10k = 11 Add '-21' to each side of the equation. 21 + -21 + 10k = 11 + -21 Combine like terms: 21 + -21 = 0 0 + 10k = 11 + -21 10k = 11 + -21 Combine like terms: 11 + -21 = -10 10k = -10 Divide each side by '10'. k = -1 Simplifying k = -1
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