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Simplifying 3k + 7 = 4 + -1(9 + -1k) Reorder the terms: 7 + 3k = 4 + -1(9 + -1k) 7 + 3k = 4 + (9 * -1 + -1k * -1) 7 + 3k = 4 + (-9 + 1k) Combine like terms: 4 + -9 = -5 7 + 3k = -5 + 1k Solving 7 + 3k = -5 + 1k 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. 7 + 3k + -1k = -5 + 1k + -1k Combine like terms: 3k + -1k = 2k 7 + 2k = -5 + 1k + -1k Combine like terms: 1k + -1k = 0 7 + 2k = -5 + 0 7 + 2k = -5 Add '-7' to each side of the equation. 7 + -7 + 2k = -5 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = -5 + -7 2k = -5 + -7 Combine like terms: -5 + -7 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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