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Simplifying 1 + 5k + 8 = -21 Reorder the terms: 1 + 8 + 5k = -21 Combine like terms: 1 + 8 = 9 9 + 5k = -21 Solving 9 + 5k = -21 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5k = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 5k = -21 + -9 5k = -21 + -9 Combine like terms: -21 + -9 = -30 5k = -30 Divide each side by '5'. k = -6 Simplifying k = -6
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