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Simplifying -84 = -6(-1 + k) -84 = (-1 * -6 + k * -6) -84 = (6 + -6k) Solving -84 = 6 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -84 + 6k = 6 + -6k + 6k Combine like terms: -6k + 6k = 0 -84 + 6k = 6 + 0 -84 + 6k = 6 Add '84' to each side of the equation. -84 + 84 + 6k = 6 + 84 Combine like terms: -84 + 84 = 0 0 + 6k = 6 + 84 6k = 6 + 84 Combine like terms: 6 + 84 = 90 6k = 90 Divide each side by '6'. k = 15 Simplifying k = 15
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