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Simplifying 5k + 13 + 5k = 8k + -19 Reorder the terms: 13 + 5k + 5k = 8k + -19 Combine like terms: 5k + 5k = 10k 13 + 10k = 8k + -19 Reorder the terms: 13 + 10k = -19 + 8k Solving 13 + 10k = -19 + 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 + 10k + -8k = -19 + 8k + -8k Combine like terms: 10k + -8k = 2k 13 + 2k = -19 + 8k + -8k Combine like terms: 8k + -8k = 0 13 + 2k = -19 + 0 13 + 2k = -19 Add '-13' to each side of the equation. 13 + -13 + 2k = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 2k = -19 + -13 2k = -19 + -13 Combine like terms: -19 + -13 = -32 2k = -32 Divide each side by '2'. k = -16 Simplifying k = -16
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