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Simplifying 4k + -7(2 + -1k) = -19 4k + (2 * -7 + -1k * -7) = -19 4k + (-14 + 7k) = -19 Reorder the terms: -14 + 4k + 7k = -19 Combine like terms: 4k + 7k = 11k -14 + 11k = -19 Solving -14 + 11k = -19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11k = -19 + 14 Combine like terms: -14 + 14 = 0 0 + 11k = -19 + 14 11k = -19 + 14 Combine like terms: -19 + 14 = -5 11k = -5 Divide each side by '11'. k = -0.4545454545 Simplifying k = -0.4545454545
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