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Simplifying -6 = 3(3 + k) -6 = (3 * 3 + k * 3) -6 = (9 + 3k) Solving -6 = 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. -6 + -3k = 9 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + -3k = 9 + 0 -6 + -3k = 9 Add '6' to each side of the equation. -6 + 6 + -3k = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3k = 9 + 6 -3k = 9 + 6 Combine like terms: 9 + 6 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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