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Simplifying -4k + -16 = 2(1 + -7k) + 7k Reorder the terms: -16 + -4k = 2(1 + -7k) + 7k -16 + -4k = (1 * 2 + -7k * 2) + 7k -16 + -4k = (2 + -14k) + 7k Combine like terms: -14k + 7k = -7k -16 + -4k = 2 + -7k Solving -16 + -4k = 2 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -16 + -4k + 7k = 2 + -7k + 7k Combine like terms: -4k + 7k = 3k -16 + 3k = 2 + -7k + 7k Combine like terms: -7k + 7k = 0 -16 + 3k = 2 + 0 -16 + 3k = 2 Add '16' to each side of the equation. -16 + 16 + 3k = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 3k = 2 + 16 3k = 2 + 16 Combine like terms: 2 + 16 = 18 3k = 18 Divide each side by '3'. k = 6 Simplifying k = 6
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