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Simplifying -39 + 7k = 2(7k + 3) + 2k Reorder the terms: -39 + 7k = 2(3 + 7k) + 2k -39 + 7k = (3 * 2 + 7k * 2) + 2k -39 + 7k = (6 + 14k) + 2k Combine like terms: 14k + 2k = 16k -39 + 7k = 6 + 16k Solving -39 + 7k = 6 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -39 + 7k + -16k = 6 + 16k + -16k Combine like terms: 7k + -16k = -9k -39 + -9k = 6 + 16k + -16k Combine like terms: 16k + -16k = 0 -39 + -9k = 6 + 0 -39 + -9k = 6 Add '39' to each side of the equation. -39 + 39 + -9k = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -9k = 6 + 39 -9k = 6 + 39 Combine like terms: 6 + 39 = 45 -9k = 45 Divide each side by '-9'. k = -5 Simplifying k = -5
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