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Simplifying 1 + -7k = 3(k + 7) Reorder the terms: 1 + -7k = 3(7 + k) 1 + -7k = (7 * 3 + k * 3) 1 + -7k = (21 + 3k) Solving 1 + -7k = 21 + 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. 1 + -7k + -3k = 21 + 3k + -3k Combine like terms: -7k + -3k = -10k 1 + -10k = 21 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + -10k = 21 + 0 1 + -10k = 21 Add '-1' to each side of the equation. 1 + -1 + -10k = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -10k = 21 + -1 -10k = 21 + -1 Combine like terms: 21 + -1 = 20 -10k = 20 Divide each side by '-10'. k = -2 Simplifying k = -2
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