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Simplifying -39 + -7k = -4k + -3(1 + -1k) -39 + -7k = -4k + (1 * -3 + -1k * -3) -39 + -7k = -4k + (-3 + 3k) Reorder the terms: -39 + -7k = -3 + -4k + 3k Combine like terms: -4k + 3k = -1k -39 + -7k = -3 + -1k Solving -39 + -7k = -3 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -39 + -7k + k = -3 + -1k + k Combine like terms: -7k + k = -6k -39 + -6k = -3 + -1k + k Combine like terms: -1k + k = 0 -39 + -6k = -3 + 0 -39 + -6k = -3 Add '39' to each side of the equation. -39 + 39 + -6k = -3 + 39 Combine like terms: -39 + 39 = 0 0 + -6k = -3 + 39 -6k = -3 + 39 Combine like terms: -3 + 39 = 36 -6k = 36 Divide each side by '-6'. k = -6 Simplifying k = -6
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