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Simplifying 2k + -5k = (1 + -2k) Combine like terms: 2k + -5k = -3k -3k = (1 + -2k) Remove parenthesis around (1 + -2k) -3k = 1 + -2k Solving -3k = 1 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -3k + 2k = 1 + -2k + 2k Combine like terms: -3k + 2k = -1k -1k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 -1k = 1 + 0 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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