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Simplifying -86 = 8k + 2(5k + -7) Reorder the terms: -86 = 8k + 2(-7 + 5k) -86 = 8k + (-7 * 2 + 5k * 2) -86 = 8k + (-14 + 10k) Reorder the terms: -86 = -14 + 8k + 10k Combine like terms: 8k + 10k = 18k -86 = -14 + 18k Solving -86 = -14 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -86 + -18k = -14 + 18k + -18k Combine like terms: 18k + -18k = 0 -86 + -18k = -14 + 0 -86 + -18k = -14 Add '86' to each side of the equation. -86 + 86 + -18k = -14 + 86 Combine like terms: -86 + 86 = 0 0 + -18k = -14 + 86 -18k = -14 + 86 Combine like terms: -14 + 86 = 72 -18k = 72 Divide each side by '-18'. k = -4 Simplifying k = -4
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