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Simplifying -8 + -7(4 + -6k) = -162 -8 + (4 * -7 + -6k * -7) = -162 -8 + (-28 + 42k) = -162 Combine like terms: -8 + -28 = -36 -36 + 42k = -162 Solving -36 + 42k = -162 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 + 42k = -162 + 36 Combine like terms: -36 + 36 = 0 0 + 42k = -162 + 36 42k = -162 + 36 Combine like terms: -162 + 36 = -126 42k = -126 Divide each side by '42'. k = -3 Simplifying k = -3
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