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Simplifying 4k + 5 = 3k + -13 Reorder the terms: 5 + 4k = 3k + -13 Reorder the terms: 5 + 4k = -13 + 3k Solving 5 + 4k = -13 + 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. 5 + 4k + -3k = -13 + 3k + -3k Combine like terms: 4k + -3k = 1k 5 + 1k = -13 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 1k = -13 + 0 5 + 1k = -13 Add '-5' to each side of the equation. 5 + -5 + 1k = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = -13 + -5 1k = -13 + -5 Combine like terms: -13 + -5 = -18 1k = -18 Divide each side by '1'. k = -18 Simplifying k = -18
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