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Simplifying -126 = 6(3k + -3) Reorder the terms: -126 = 6(-3 + 3k) -126 = (-3 * 6 + 3k * 6) -126 = (-18 + 18k) Solving -126 = -18 + 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. -126 + -18k = -18 + 18k + -18k Combine like terms: 18k + -18k = 0 -126 + -18k = -18 + 0 -126 + -18k = -18 Add '126' to each side of the equation. -126 + 126 + -18k = -18 + 126 Combine like terms: -126 + 126 = 0 0 + -18k = -18 + 126 -18k = -18 + 126 Combine like terms: -18 + 126 = 108 -18k = 108 Divide each side by '-18'. k = -6 Simplifying k = -6
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