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Simplifying 3k + -5 = -13 + 4k Reorder the terms: -5 + 3k = -13 + 4k Solving -5 + 3k = -13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -5 + 3k + -4k = -13 + 4k + -4k Combine like terms: 3k + -4k = -1k -5 + -1k = -13 + 4k + -4k Combine like terms: 4k + -4k = 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 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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