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Simplifying (1 + -2k) = 3 + -6k Remove parenthesis around (1 + -2k) 1 + -2k = 3 + -6k Solving 1 + -2k = 3 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 1 + -2k + 6k = 3 + -6k + 6k Combine like terms: -2k + 6k = 4k 1 + 4k = 3 + -6k + 6k Combine like terms: -6k + 6k = 0 1 + 4k = 3 + 0 1 + 4k = 3 Add '-1' to each side of the equation. 1 + -1 + 4k = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = 3 + -1 4k = 3 + -1 Combine like terms: 3 + -1 = 2 4k = 2 Divide each side by '4'. k = 0.5 Simplifying k = 0.5
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