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Simplifying 1 + -2k = 9 + 2k Solving 1 + -2k = 9 + 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. 1 + -2k + -2k = 9 + 2k + -2k Combine like terms: -2k + -2k = -4k 1 + -4k = 9 + 2k + -2k Combine like terms: 2k + -2k = 0 1 + -4k = 9 + 0 1 + -4k = 9 Add '-1' to each side of the equation. 1 + -1 + -4k = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 9 + -1 -4k = 9 + -1 Combine like terms: 9 + -1 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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