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Simplifying -9 + k + -6 + 4k = 8k + -1 + -5k Reorder the terms: -9 + -6 + k + 4k = 8k + -1 + -5k Combine like terms: -9 + -6 = -15 -15 + k + 4k = 8k + -1 + -5k Combine like terms: k + 4k = 5k -15 + 5k = 8k + -1 + -5k Reorder the terms: -15 + 5k = -1 + 8k + -5k Combine like terms: 8k + -5k = 3k -15 + 5k = -1 + 3k Solving -15 + 5k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -15 + 5k + -3k = -1 + 3k + -3k Combine like terms: 5k + -3k = 2k -15 + 2k = -1 + 3k + -3k Combine like terms: 3k + -3k = 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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