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Simplifying 3k + -5 + -4k = 7 + k + -8 Reorder the terms: -5 + 3k + -4k = 7 + k + -8 Combine like terms: 3k + -4k = -1k -5 + -1k = 7 + k + -8 Reorder the terms: -5 + -1k = 7 + -8 + k Combine like terms: 7 + -8 = -1 -5 + -1k = -1 + k Solving -5 + -1k = -1 + 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 + -1k + -1k = -1 + k + -1k Combine like terms: -1k + -1k = -2k -5 + -2k = -1 + k + -1k Combine like terms: k + -1k = 0 -5 + -2k = -1 + 0 -5 + -2k = -1 Add '5' to each side of the equation. -5 + 5 + -2k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -2k = -1 + 5 -2k = -1 + 5 Combine like terms: -1 + 5 = 4 -2k = 4 Divide each side by '-2'. k = -2 Simplifying k = -2
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