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Simplifying 1 + 4(2 + -3k) = 0 1 + (2 * 4 + -3k * 4) = 0 1 + (8 + -12k) = 0 Combine like terms: 1 + 8 = 9 9 + -12k = 0 Solving 9 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -12k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -12k = 0 + -9 -12k = 0 + -9 Combine like terms: 0 + -9 = -9 -12k = -9 Divide each side by '-12'. k = 0.75 Simplifying k = 0.75
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