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Simplifying 84 = -6(1 + -3k) 84 = (1 * -6 + -3k * -6) 84 = (-6 + 18k) Solving 84 = -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. 84 + -18k = -6 + 18k + -18k Combine like terms: 18k + -18k = 0 84 + -18k = -6 + 0 84 + -18k = -6 Add '-84' to each side of the equation. 84 + -84 + -18k = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -18k = -6 + -84 -18k = -6 + -84 Combine like terms: -6 + -84 = -90 -18k = -90 Divide each side by '-18'. k = 5 Simplifying k = 5
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