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Simplifying 7(k + 8) = 124 + -5k Reorder the terms: 7(8 + k) = 124 + -5k (8 * 7 + k * 7) = 124 + -5k (56 + 7k) = 124 + -5k Solving 56 + 7k = 124 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 56 + 7k + 5k = 124 + -5k + 5k Combine like terms: 7k + 5k = 12k 56 + 12k = 124 + -5k + 5k Combine like terms: -5k + 5k = 0 56 + 12k = 124 + 0 56 + 12k = 124 Add '-56' to each side of the equation. 56 + -56 + 12k = 124 + -56 Combine like terms: 56 + -56 = 0 0 + 12k = 124 + -56 12k = 124 + -56 Combine like terms: 124 + -56 = 68 12k = 68 Divide each side by '12'. k = 5.666666667 Simplifying k = 5.666666667
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