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Simplifying 2(-2 + 7k) + -3k = -39 + 6k (-2 * 2 + 7k * 2) + -3k = -39 + 6k (-4 + 14k) + -3k = -39 + 6k Combine like terms: 14k + -3k = 11k -4 + 11k = -39 + 6k Solving -4 + 11k = -39 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -4 + 11k + -6k = -39 + 6k + -6k Combine like terms: 11k + -6k = 5k -4 + 5k = -39 + 6k + -6k Combine like terms: 6k + -6k = 0 -4 + 5k = -39 + 0 -4 + 5k = -39 Add '4' to each side of the equation. -4 + 4 + 5k = -39 + 4 Combine like terms: -4 + 4 = 0 0 + 5k = -39 + 4 5k = -39 + 4 Combine like terms: -39 + 4 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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