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Simplifying -15 + -2k = 4k + -1 + -8k Reorder the terms: -15 + -2k = -1 + 4k + -8k Combine like terms: 4k + -8k = -4k -15 + -2k = -1 + -4k Solving -15 + -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. -15 + -2k + 4k = -1 + -4k + 4k Combine like terms: -2k + 4k = 2k -15 + 2k = -1 + -4k + 4k Combine like terms: -4k + 4k = 0 -15 + 2k = -1 + 0 -15 + 2k = -1 Add '15' to each side of the equation. -15 + 15 + 2k = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 2k = -1 + 15 2k = -1 + 15 Combine like terms: -1 + 15 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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