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Simplifying 4(8 + -3k) = 27 (8 * 4 + -3k * 4) = 27 (32 + -12k) = 27 Solving 32 + -12k = 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 + -12k = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -12k = 27 + -32 -12k = 27 + -32 Combine like terms: 27 + -32 = -5 -12k = -5 Divide each side by '-12'. k = 0.4166666667 Simplifying k = 0.4166666667
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