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Simplifying 86 = 7k + 4(2 + -5k) 86 = 7k + (2 * 4 + -5k * 4) 86 = 7k + (8 + -20k) Reorder the terms: 86 = 8 + 7k + -20k Combine like terms: 7k + -20k = -13k 86 = 8 + -13k Solving 86 = 8 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 86 + 13k = 8 + -13k + 13k Combine like terms: -13k + 13k = 0 86 + 13k = 8 + 0 86 + 13k = 8 Add '-86' to each side of the equation. 86 + -86 + 13k = 8 + -86 Combine like terms: 86 + -86 = 0 0 + 13k = 8 + -86 13k = 8 + -86 Combine like terms: 8 + -86 = -78 13k = -78 Divide each side by '13'. k = -6 Simplifying k = -6
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