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Simplifying 4 + 4k + -7 = 9 + 4k + -3k Reorder the terms: 4 + -7 + 4k = 9 + 4k + -3k Combine like terms: 4 + -7 = -3 -3 + 4k = 9 + 4k + -3k Combine like terms: 4k + -3k = 1k -3 + 4k = 9 + 1k Solving -3 + 4k = 9 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + 4k + -1k = 9 + 1k + -1k Combine like terms: 4k + -1k = 3k -3 + 3k = 9 + 1k + -1k Combine like terms: 1k + -1k = 0 -3 + 3k = 9 + 0 -3 + 3k = 9 Add '3' to each side of the equation. -3 + 3 + 3k = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 9 + 3 3k = 9 + 3 Combine like terms: 9 + 3 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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