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Simplifying 8(4 + 2k) = 27 (4 * 8 + 2k * 8) = 27 (32 + 16k) = 27 Solving 32 + 16k = 27 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 16k = 27 + -32 Combine like terms: 32 + -32 = 0 0 + 16k = 27 + -32 16k = 27 + -32 Combine like terms: 27 + -32 = -5 16k = -5 Divide each side by '16'. k = -0.3125 Simplifying k = -0.3125
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