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Simplifying 6k + -1 = 7k + 3(3 + 3k) Reorder the terms: -1 + 6k = 7k + 3(3 + 3k) -1 + 6k = 7k + (3 * 3 + 3k * 3) -1 + 6k = 7k + (9 + 9k) Reorder the terms: -1 + 6k = 9 + 7k + 9k Combine like terms: 7k + 9k = 16k -1 + 6k = 9 + 16k Solving -1 + 6k = 9 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -1 + 6k + -16k = 9 + 16k + -16k Combine like terms: 6k + -16k = -10k -1 + -10k = 9 + 16k + -16k Combine like terms: 16k + -16k = 0 -1 + -10k = 9 + 0 -1 + -10k = 9 Add '1' to each side of the equation. -1 + 1 + -10k = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -10k = 9 + 1 -10k = 9 + 1 Combine like terms: 9 + 1 = 10 -10k = 10 Divide each side by '-10'. k = -1 Simplifying k = -1
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