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Simplifying 86 = -2(5k + -3) Reorder the terms: 86 = -2(-3 + 5k) 86 = (-3 * -2 + 5k * -2) 86 = (6 + -10k) Solving 86 = 6 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 86 + 10k = 6 + -10k + 10k Combine like terms: -10k + 10k = 0 86 + 10k = 6 + 0 86 + 10k = 6 Add '-86' to each side of the equation. 86 + -86 + 10k = 6 + -86 Combine like terms: 86 + -86 = 0 0 + 10k = 6 + -86 10k = 6 + -86 Combine like terms: 6 + -86 = -80 10k = -80 Divide each side by '10'. k = -8 Simplifying k = -8
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