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Simplifying 6 + k = 4k + -9 Reorder the terms: 6 + k = -9 + 4k Solving 6 + k = -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. 6 + k + -4k = -9 + 4k + -4k Combine like terms: k + -4k = -3k 6 + -3k = -9 + 4k + -4k Combine like terms: 4k + -4k = 0 6 + -3k = -9 + 0 6 + -3k = -9 Add '-6' to each side of the equation. 6 + -6 + -3k = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3k = -9 + -6 -3k = -9 + -6 Combine like terms: -9 + -6 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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