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Simplifying 5(6 + -2k) = 7k + -123 (6 * 5 + -2k * 5) = 7k + -123 (30 + -10k) = 7k + -123 Reorder the terms: 30 + -10k = -123 + 7k Solving 30 + -10k = -123 + 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 + -10k + -7k = -123 + 7k + -7k Combine like terms: -10k + -7k = -17k 30 + -17k = -123 + 7k + -7k Combine like terms: 7k + -7k = 0 30 + -17k = -123 + 0 30 + -17k = -123 Add '-30' to each side of the equation. 30 + -30 + -17k = -123 + -30 Combine like terms: 30 + -30 = 0 0 + -17k = -123 + -30 -17k = -123 + -30 Combine like terms: -123 + -30 = -153 -17k = -153 Divide each side by '-17'. k = 9 Simplifying k = 9
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