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