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Simplifying k + -17 + 7k = 3(k + 1) Reorder the terms: -17 + k + 7k = 3(k + 1) Combine like terms: k + 7k = 8k -17 + 8k = 3(k + 1) Reorder the terms: -17 + 8k = 3(1 + k) -17 + 8k = (1 * 3 + k * 3) -17 + 8k = (3 + 3k) Solving -17 + 8k = 3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -17 + 8k + -3k = 3 + 3k + -3k Combine like terms: 8k + -3k = 5k -17 + 5k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 -17 + 5k = 3 + 0 -17 + 5k = 3 Add '17' to each side of the equation. -17 + 17 + 5k = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 5k = 3 + 17 5k = 3 + 17 Combine like terms: 3 + 17 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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