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Simplifying -2(5k + 8) = -86 Reorder the terms: -2(8 + 5k) = -86 (8 * -2 + 5k * -2) = -86 (-16 + -10k) = -86 Solving -16 + -10k = -86 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -10k = -86 + 16 Combine like terms: -16 + 16 = 0 0 + -10k = -86 + 16 -10k = -86 + 16 Combine like terms: -86 + 16 = -70 -10k = -70 Divide each side by '-10'. k = 7 Simplifying k = 7
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