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Simplifying 4k + -10 + -42 = 3k + -24 Reorder the terms: -10 + -42 + 4k = 3k + -24 Combine like terms: -10 + -42 = -52 -52 + 4k = 3k + -24 Reorder the terms: -52 + 4k = -24 + 3k Solving -52 + 4k = -24 + 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. -52 + 4k + -3k = -24 + 3k + -3k Combine like terms: 4k + -3k = 1k -52 + 1k = -24 + 3k + -3k Combine like terms: 3k + -3k = 0 -52 + 1k = -24 + 0 -52 + 1k = -24 Add '52' to each side of the equation. -52 + 52 + 1k = -24 + 52 Combine like terms: -52 + 52 = 0 0 + 1k = -24 + 52 1k = -24 + 52 Combine like terms: -24 + 52 = 28 1k = 28 Divide each side by '1'. k = 28 Simplifying k = 28
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