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Simplifying -42 + 4k = -1k + 3k + -1k Combine like terms: -1k + 3k = 2k -42 + 4k = 2k + -1k Combine like terms: 2k + -1k = 1k -42 + 4k = 1k Solving -42 + 4k = 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. -42 + 4k + -1k = 1k + -1k Combine like terms: 4k + -1k = 3k -42 + 3k = 1k + -1k Combine like terms: 1k + -1k = 0 -42 + 3k = 0 Add '42' to each side of the equation. -42 + 42 + 3k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 3k = 0 + 42 3k = 0 + 42 Combine like terms: 0 + 42 = 42 3k = 42 Divide each side by '3'. k = 14 Simplifying k = 14
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