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Simplifying -117 = 3(3 + -6k) -117 = (3 * 3 + -6k * 3) -117 = (9 + -18k) Solving -117 = 9 + -18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18k' to each side of the equation. -117 + 18k = 9 + -18k + 18k Combine like terms: -18k + 18k = 0 -117 + 18k = 9 + 0 -117 + 18k = 9 Add '117' to each side of the equation. -117 + 117 + 18k = 9 + 117 Combine like terms: -117 + 117 = 0 0 + 18k = 9 + 117 18k = 9 + 117 Combine like terms: 9 + 117 = 126 18k = 126 Divide each side by '18'. k = 7 Simplifying k = 7
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