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Simplifying 6 + -2(1 + -3k) = -23 6 + (1 * -2 + -3k * -2) = -23 6 + (-2 + 6k) = -23 Combine like terms: 6 + -2 = 4 4 + 6k = -23 Solving 4 + 6k = -23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6k = -23 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = -23 + -4 6k = -23 + -4 Combine like terms: -23 + -4 = -27 6k = -27 Divide each side by '6'. k = -4.5 Simplifying k = -4.5
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