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Simplifying 4 + k = 7 + 4k + 3 + 6 Reorder the terms: 4 + k = 7 + 3 + 6 + 4k Combine like terms: 7 + 3 = 10 4 + k = 10 + 6 + 4k Combine like terms: 10 + 6 = 16 4 + k = 16 + 4k Solving 4 + k = 16 + 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. 4 + k + -4k = 16 + 4k + -4k Combine like terms: k + -4k = -3k 4 + -3k = 16 + 4k + -4k Combine like terms: 4k + -4k = 0 4 + -3k = 16 + 0 4 + -3k = 16 Add '-4' to each side of the equation. 4 + -4 + -3k = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 16 + -4 -3k = 16 + -4 Combine like terms: 16 + -4 = 12 -3k = 12 Divide each side by '-3'. k = -4 Simplifying k = -4
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