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Simplifying -7k + 2(7 + 8k) = 7(k + 2) + 6k -7k + (7 * 2 + 8k * 2) = 7(k + 2) + 6k -7k + (14 + 16k) = 7(k + 2) + 6k Reorder the terms: 14 + -7k + 16k = 7(k + 2) + 6k Combine like terms: -7k + 16k = 9k 14 + 9k = 7(k + 2) + 6k Reorder the terms: 14 + 9k = 7(2 + k) + 6k 14 + 9k = (2 * 7 + k * 7) + 6k 14 + 9k = (14 + 7k) + 6k Combine like terms: 7k + 6k = 13k 14 + 9k = 14 + 13k Add '-14' to each side of the equation. 14 + -14 + 9k = 14 + -14 + 13k Combine like terms: 14 + -14 = 0 0 + 9k = 14 + -14 + 13k 9k = 14 + -14 + 13k Combine like terms: 14 + -14 = 0 9k = 0 + 13k 9k = 13k Solving 9k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 9k + -13k = 13k + -13k Combine like terms: 9k + -13k = -4k -4k = 13k + -13k Combine like terms: 13k + -13k = 0 -4k = 0 Divide each side by '-4'. k = 0 Simplifying k = 0
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