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Simplifying k + -7 + 6k = 3(k + 3) Reorder the terms: -7 + k + 6k = 3(k + 3) Combine like terms: k + 6k = 7k -7 + 7k = 3(k + 3) Reorder the terms: -7 + 7k = 3(3 + k) -7 + 7k = (3 * 3 + k * 3) -7 + 7k = (9 + 3k) Solving -7 + 7k = 9 + 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. -7 + 7k + -3k = 9 + 3k + -3k Combine like terms: 7k + -3k = 4k -7 + 4k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 -7 + 4k = 9 + 0 -7 + 4k = 9 Add '7' to each side of the equation. -7 + 7 + 4k = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 9 + 7 4k = 9 + 7 Combine like terms: 9 + 7 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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