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Simplifying 7(k + 3) = 15 + -3(12 + -1k) Reorder the terms: 7(3 + k) = 15 + -3(12 + -1k) (3 * 7 + k * 7) = 15 + -3(12 + -1k) (21 + 7k) = 15 + -3(12 + -1k) 21 + 7k = 15 + (12 * -3 + -1k * -3) 21 + 7k = 15 + (-36 + 3k) Combine like terms: 15 + -36 = -21 21 + 7k = -21 + 3k Solving 21 + 7k = -21 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 21 + 7k + -3k = -21 + 3k + -3k Combine like terms: 7k + -3k = 4k 21 + 4k = -21 + 3k + -3k Combine like terms: 3k + -3k = 0 21 + 4k = -21 + 0 21 + 4k = -21 Add '-21' to each side of the equation. 21 + -21 + 4k = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 4k = -21 + -21 4k = -21 + -21 Combine like terms: -21 + -21 = -42 4k = -42 Divide each side by '4'. k = -10.5 Simplifying k = -10.5
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