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Simplifying -5 + -3k = k + 3 + 4 Reorder the terms: -5 + -3k = 3 + 4 + k Combine like terms: 3 + 4 = 7 -5 + -3k = 7 + k Solving -5 + -3k = 7 + k 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. -5 + -3k + -1k = 7 + k + -1k Combine like terms: -3k + -1k = -4k -5 + -4k = 7 + k + -1k Combine like terms: k + -1k = 0 -5 + -4k = 7 + 0 -5 + -4k = 7 Add '5' to each side of the equation. -5 + 5 + -4k = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 7 + 5 -4k = 7 + 5 Combine like terms: 7 + 5 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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