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Simplifying 84 = -6(-8 + 3k) 84 = (-8 * -6 + 3k * -6) 84 = (48 + -18k) Solving 84 = 48 + -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 = 48 + -18k + 18k Combine like terms: -18k + 18k = 0 84 + 18k = 48 + 0 84 + 18k = 48 Add '-84' to each side of the equation. 84 + -84 + 18k = 48 + -84 Combine like terms: 84 + -84 = 0 0 + 18k = 48 + -84 18k = 48 + -84 Combine like terms: 48 + -84 = -36 18k = -36 Divide each side by '18'. k = -2 Simplifying k = -2
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