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Simplifying 3k = -2 + -1(7 + 2k) 3k = -2 + (7 * -1 + 2k * -1) 3k = -2 + (-7 + -2k) Combine like terms: -2 + -7 = -9 3k = -9 + -2k Solving 3k = -9 + -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. 3k + 2k = -9 + -2k + 2k Combine like terms: 3k + 2k = 5k 5k = -9 + -2k + 2k Combine like terms: -2k + 2k = 0 5k = -9 + 0 5k = -9 Divide each side by '5'. k = -1.8 Simplifying k = -1.8
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