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Simplifying 8(2 + 2k) = 33 + -1k (2 * 8 + 2k * 8) = 33 + -1k (16 + 16k) = 33 + -1k Solving 16 + 16k = 33 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 16 + 16k + k = 33 + -1k + k Combine like terms: 16k + k = 17k 16 + 17k = 33 + -1k + k Combine like terms: -1k + k = 0 16 + 17k = 33 + 0 16 + 17k = 33 Add '-16' to each side of the equation. 16 + -16 + 17k = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 17k = 33 + -16 17k = 33 + -16 Combine like terms: 33 + -16 = 17 17k = 17 Divide each side by '17'. k = 1 Simplifying k = 1
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