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