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Simplifying 86 = 6 + -4(8 + 7k) 86 = 6 + (8 * -4 + 7k * -4) 86 = 6 + (-32 + -28k) Combine like terms: 6 + -32 = -26 86 = -26 + -28k Solving 86 = -26 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 86 + 28k = -26 + -28k + 28k Combine like terms: -28k + 28k = 0 86 + 28k = -26 + 0 86 + 28k = -26 Add '-86' to each side of the equation. 86 + -86 + 28k = -26 + -86 Combine like terms: 86 + -86 = 0 0 + 28k = -26 + -86 28k = -26 + -86 Combine like terms: -26 + -86 = -112 28k = -112 Divide each side by '28'. k = -4 Simplifying k = -4
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