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Simplifying -96 = -6(1 + 3k) -96 = (1 * -6 + 3k * -6) -96 = (-6 + -18k) Solving -96 = -6 + -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. -96 + 18k = -6 + -18k + 18k Combine like terms: -18k + 18k = 0 -96 + 18k = -6 + 0 -96 + 18k = -6 Add '96' to each side of the equation. -96 + 96 + 18k = -6 + 96 Combine like terms: -96 + 96 = 0 0 + 18k = -6 + 96 18k = -6 + 96 Combine like terms: -6 + 96 = 90 18k = 90 Divide each side by '18'. k = 5 Simplifying k = 5
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