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Simplifying 89 = -7k + 4(5k + 6) Reorder the terms: 89 = -7k + 4(6 + 5k) 89 = -7k + (6 * 4 + 5k * 4) 89 = -7k + (24 + 20k) Reorder the terms: 89 = 24 + -7k + 20k Combine like terms: -7k + 20k = 13k 89 = 24 + 13k Solving 89 = 24 + 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. 89 + -13k = 24 + 13k + -13k Combine like terms: 13k + -13k = 0 89 + -13k = 24 + 0 89 + -13k = 24 Add '-89' to each side of the equation. 89 + -89 + -13k = 24 + -89 Combine like terms: 89 + -89 = 0 0 + -13k = 24 + -89 -13k = 24 + -89 Combine like terms: 24 + -89 = -65 -13k = -65 Divide each side by '-13'. k = 5 Simplifying k = 5
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