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