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Simplifying 1 + -2k = 8 + 4k + -5k Combine like terms: 4k + -5k = -1k 1 + -2k = 8 + -1k Solving 1 + -2k = 8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 1 + -2k + k = 8 + -1k + k Combine like terms: -2k + k = -1k 1 + -1k = 8 + -1k + k Combine like terms: -1k + k = 0 1 + -1k = 8 + 0 1 + -1k = 8 Add '-1' to each side of the equation. 1 + -1 + -1k = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 8 + -1 -1k = 8 + -1 Combine like terms: 8 + -1 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7
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