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Simplifying -4 + 3k + -6 = 4k + -9 Reorder the terms: -4 + -6 + 3k = 4k + -9 Combine like terms: -4 + -6 = -10 -10 + 3k = 4k + -9 Reorder the terms: -10 + 3k = -9 + 4k Solving -10 + 3k = -9 + 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. -10 + 3k + -4k = -9 + 4k + -4k Combine like terms: 3k + -4k = -1k -10 + -1k = -9 + 4k + -4k Combine like terms: 4k + -4k = 0 -10 + -1k = -9 + 0 -10 + -1k = -9 Add '10' to each side of the equation. -10 + 10 + -1k = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -1k = -9 + 10 -1k = -9 + 10 Combine like terms: -9 + 10 = 1 -1k = 1 Divide each side by '-1'. k = -1 Simplifying k = -1
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