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Simplifying -14 = 2(1 + 8k) -14 = (1 * 2 + 8k * 2) -14 = (2 + 16k) Solving -14 = 2 + 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. -14 + -16k = 2 + 16k + -16k Combine like terms: 16k + -16k = 0 -14 + -16k = 2 + 0 -14 + -16k = 2 Add '14' to each side of the equation. -14 + 14 + -16k = 2 + 14 Combine like terms: -14 + 14 = 0 0 + -16k = 2 + 14 -16k = 2 + 14 Combine like terms: 2 + 14 = 16 -16k = 16 Divide each side by '-16'. k = -1 Simplifying k = -1
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