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Simplifying 5k + 13 = 8k + -5 Reorder the terms: 13 + 5k = 8k + -5 Reorder the terms: 13 + 5k = -5 + 8k Solving 13 + 5k = -5 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 13 + 5k + -8k = -5 + 8k + -8k Combine like terms: 5k + -8k = -3k 13 + -3k = -5 + 8k + -8k Combine like terms: 8k + -8k = 0 13 + -3k = -5 + 0 13 + -3k = -5 Add '-13' to each side of the equation. 13 + -13 + -3k = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = -5 + -13 -3k = -5 + -13 Combine like terms: -5 + -13 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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