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Simplifying -5 + -2(-1 + 7k) = -39 + -8k -5 + (-1 * -2 + 7k * -2) = -39 + -8k -5 + (2 + -14k) = -39 + -8k Combine like terms: -5 + 2 = -3 -3 + -14k = -39 + -8k Solving -3 + -14k = -39 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -3 + -14k + 8k = -39 + -8k + 8k Combine like terms: -14k + 8k = -6k -3 + -6k = -39 + -8k + 8k Combine like terms: -8k + 8k = 0 -3 + -6k = -39 + 0 -3 + -6k = -39 Add '3' to each side of the equation. -3 + 3 + -6k = -39 + 3 Combine like terms: -3 + 3 = 0 0 + -6k = -39 + 3 -6k = -39 + 3 Combine like terms: -39 + 3 = -36 -6k = -36 Divide each side by '-6'. k = 6 Simplifying k = 6
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