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Simplifying 5(4k + 5) + -8(-6 + k) = -23 Reorder the terms: 5(5 + 4k) + -8(-6 + k) = -23 (5 * 5 + 4k * 5) + -8(-6 + k) = -23 (25 + 20k) + -8(-6 + k) = -23 25 + 20k + (-6 * -8 + k * -8) = -23 25 + 20k + (48 + -8k) = -23 Reorder the terms: 25 + 48 + 20k + -8k = -23 Combine like terms: 25 + 48 = 73 73 + 20k + -8k = -23 Combine like terms: 20k + -8k = 12k 73 + 12k = -23 Solving 73 + 12k = -23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + 12k = -23 + -73 Combine like terms: 73 + -73 = 0 0 + 12k = -23 + -73 12k = -23 + -73 Combine like terms: -23 + -73 = -96 12k = -96 Divide each side by '12'. k = -8 Simplifying k = -8
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