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Simplifying k + -5 + -4 = 7 + -3k Reorder the terms: -5 + -4 + k = 7 + -3k Combine like terms: -5 + -4 = -9 -9 + k = 7 + -3k Solving -9 + k = 7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -9 + k + 3k = 7 + -3k + 3k Combine like terms: k + 3k = 4k -9 + 4k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 -9 + 4k = 7 + 0 -9 + 4k = 7 Add '9' to each side of the equation. -9 + 9 + 4k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 4k = 7 + 9 4k = 7 + 9 Combine like terms: 7 + 9 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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