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Simplifying 86 = 8(k + 5) + -2 Reorder the terms: 86 = 8(5 + k) + -2 86 = (5 * 8 + k * 8) + -2 86 = (40 + 8k) + -2 Reorder the terms: 86 = 40 + -2 + 8k Combine like terms: 40 + -2 = 38 86 = 38 + 8k Solving 86 = 38 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 86 + -8k = 38 + 8k + -8k Combine like terms: 8k + -8k = 0 86 + -8k = 38 + 0 86 + -8k = 38 Add '-86' to each side of the equation. 86 + -86 + -8k = 38 + -86 Combine like terms: 86 + -86 = 0 0 + -8k = 38 + -86 -8k = 38 + -86 Combine like terms: 38 + -86 = -48 -8k = -48 Divide each side by '-8'. k = 6 Simplifying k = 6
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