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Simplifying 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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