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Simplifying 5k + -3(k + -2) = -6 Reorder the terms: 5k + -3(-2 + k) = -6 5k + (-2 * -3 + k * -3) = -6 5k + (6 + -3k) = -6 Reorder the terms: 6 + 5k + -3k = -6 Combine like terms: 5k + -3k = 2k 6 + 2k = -6 Solving 6 + 2k = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2k = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = -6 + -6 2k = -6 + -6 Combine like terms: -6 + -6 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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