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Simplifying 5k + -13 + 3k = 40 Reorder the terms: -13 + 5k + 3k = 40 Combine like terms: 5k + 3k = 8k -13 + 8k = 40 Solving -13 + 8k = 40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8k = 40 + 13 Combine like terms: -13 + 13 = 0 0 + 8k = 40 + 13 8k = 40 + 13 Combine like terms: 40 + 13 = 53 8k = 53 Divide each side by '8'. k = 6.625 Simplifying k = 6.625
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