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Simplifying -8(1 + -5k) + -6 = -94 (1 * -8 + -5k * -8) + -6 = -94 (-8 + 40k) + -6 = -94 Reorder the terms: -8 + -6 + 40k = -94 Combine like terms: -8 + -6 = -14 -14 + 40k = -94 Solving -14 + 40k = -94 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 40k = -94 + 14 Combine like terms: -14 + 14 = 0 0 + 40k = -94 + 14 40k = -94 + 14 Combine like terms: -94 + 14 = -80 40k = -80 Divide each side by '40'. k = -2 Simplifying k = -2
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