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Simplifying 6(k + -6) = -84 Reorder the terms: 6(-6 + k) = -84 (-6 * 6 + k * 6) = -84 (-36 + 6k) = -84 Solving -36 + 6k = -84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6k = -84 + 36 Combine like terms: -36 + 36 = 0 0 + 6k = -84 + 36 6k = -84 + 36 Combine like terms: -84 + 36 = -48 6k = -48 Divide each side by '6'. k = -8 Simplifying k = -8
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