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Simplifying 7(3 + -1k) + 1 = -3k + 6 (3 * 7 + -1k * 7) + 1 = -3k + 6 (21 + -7k) + 1 = -3k + 6 Reorder the terms: 21 + 1 + -7k = -3k + 6 Combine like terms: 21 + 1 = 22 22 + -7k = -3k + 6 Reorder the terms: 22 + -7k = 6 + -3k Solving 22 + -7k = 6 + -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. 22 + -7k + 3k = 6 + -3k + 3k Combine like terms: -7k + 3k = -4k 22 + -4k = 6 + -3k + 3k Combine like terms: -3k + 3k = 0 22 + -4k = 6 + 0 22 + -4k = 6 Add '-22' to each side of the equation. 22 + -22 + -4k = 6 + -22 Combine like terms: 22 + -22 = 0 0 + -4k = 6 + -22 -4k = 6 + -22 Combine like terms: 6 + -22 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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