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Simplifying 3(2k + 7) = k + -4 Reorder the terms: 3(7 + 2k) = k + -4 (7 * 3 + 2k * 3) = k + -4 (21 + 6k) = k + -4 Reorder the terms: 21 + 6k = -4 + k Solving 21 + 6k = -4 + 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. 21 + 6k + -1k = -4 + k + -1k Combine like terms: 6k + -1k = 5k 21 + 5k = -4 + k + -1k Combine like terms: k + -1k = 0 21 + 5k = -4 + 0 21 + 5k = -4 Add '-21' to each side of the equation. 21 + -21 + 5k = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 5k = -4 + -21 5k = -4 + -21 Combine like terms: -4 + -21 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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