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Simplifying 7(k + 3) + 5 = -5(k + -3) + 17 Reorder the terms: 7(3 + k) + 5 = -5(k + -3) + 17 (3 * 7 + k * 7) + 5 = -5(k + -3) + 17 (21 + 7k) + 5 = -5(k + -3) + 17 Reorder the terms: 21 + 5 + 7k = -5(k + -3) + 17 Combine like terms: 21 + 5 = 26 26 + 7k = -5(k + -3) + 17 Reorder the terms: 26 + 7k = -5(-3 + k) + 17 26 + 7k = (-3 * -5 + k * -5) + 17 26 + 7k = (15 + -5k) + 17 Reorder the terms: 26 + 7k = 15 + 17 + -5k Combine like terms: 15 + 17 = 32 26 + 7k = 32 + -5k Solving 26 + 7k = 32 + -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. 26 + 7k + 5k = 32 + -5k + 5k Combine like terms: 7k + 5k = 12k 26 + 12k = 32 + -5k + 5k Combine like terms: -5k + 5k = 0 26 + 12k = 32 + 0 26 + 12k = 32 Add '-26' to each side of the equation. 26 + -26 + 12k = 32 + -26 Combine like terms: 26 + -26 = 0 0 + 12k = 32 + -26 12k = 32 + -26 Combine like terms: 32 + -26 = 6 12k = 6 Divide each side by '12'. k = 0.5 Simplifying k = 0.5
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