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Simplifying 16 + k = 8(7k + 2) + 6k Reorder the terms: 16 + k = 8(2 + 7k) + 6k 16 + k = (2 * 8 + 7k * 8) + 6k 16 + k = (16 + 56k) + 6k Combine like terms: 56k + 6k = 62k 16 + k = 16 + 62k Add '-16' to each side of the equation. 16 + -16 + k = 16 + -16 + 62k Combine like terms: 16 + -16 = 0 0 + k = 16 + -16 + 62k k = 16 + -16 + 62k Combine like terms: 16 + -16 = 0 k = 0 + 62k k = 62k Solving k = 62k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-62k' to each side of the equation. k + -62k = 62k + -62k Combine like terms: k + -62k = -61k -61k = 62k + -62k Combine like terms: 62k + -62k = 0 -61k = 0 Divide each side by '-61'. k = 0 Simplifying k = 0
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