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Simplifying 6(k + -7) = -84 Reorder the terms: 6(-7 + k) = -84 (-7 * 6 + k * 6) = -84 (-42 + 6k) = -84 Solving -42 + 6k = -84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6k = -84 + 42 Combine like terms: -42 + 42 = 0 0 + 6k = -84 + 42 6k = -84 + 42 Combine like terms: -84 + 42 = -42 6k = -42 Divide each side by '6'. k = -7 Simplifying k = -7
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