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Simplifying -6(8 + -3) = 7k + 29 Combine like terms: 8 + -3 = 5 -6(5) = 7k + 29 Multiply -6 * 5 -30 = 7k + 29 Reorder the terms: -30 = 29 + 7k Solving -30 = 29 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -30 + -7k = 29 + 7k + -7k Combine like terms: 7k + -7k = 0 -30 + -7k = 29 + 0 -30 + -7k = 29 Add '30' to each side of the equation. -30 + 30 + -7k = 29 + 30 Combine like terms: -30 + 30 = 0 0 + -7k = 29 + 30 -7k = 29 + 30 Combine like terms: 29 + 30 = 59 -7k = 59 Divide each side by '-7'. k = -8.428571429 Simplifying k = -8.428571429
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