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Simplifying 4(1 + -2k) = 3 + 4k (1 * 4 + -2k * 4) = 3 + 4k (4 + -8k) = 3 + 4k Solving 4 + -8k = 3 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 4 + -8k + -4k = 3 + 4k + -4k Combine like terms: -8k + -4k = -12k 4 + -12k = 3 + 4k + -4k Combine like terms: 4k + -4k = 0 4 + -12k = 3 + 0 4 + -12k = 3 Add '-4' to each side of the equation. 4 + -4 + -12k = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -12k = 3 + -4 -12k = 3 + -4 Combine like terms: 3 + -4 = -1 -12k = -1 Divide each side by '-12'. k = 0.08333333333 Simplifying k = 0.08333333333
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