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Simplifying 5(k + 2) + 8(k + 3) = -1 Reorder the terms: 5(2 + k) + 8(k + 3) = -1 (2 * 5 + k * 5) + 8(k + 3) = -1 (10 + 5k) + 8(k + 3) = -1 Reorder the terms: 10 + 5k + 8(3 + k) = -1 10 + 5k + (3 * 8 + k * 8) = -1 10 + 5k + (24 + 8k) = -1 Reorder the terms: 10 + 24 + 5k + 8k = -1 Combine like terms: 10 + 24 = 34 34 + 5k + 8k = -1 Combine like terms: 5k + 8k = 13k 34 + 13k = -1 Solving 34 + 13k = -1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 13k = -1 + -34 Combine like terms: 34 + -34 = 0 0 + 13k = -1 + -34 13k = -1 + -34 Combine like terms: -1 + -34 = -35 13k = -35 Divide each side by '13'. k = -2.692307692 Simplifying k = -2.692307692
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