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Simplifying 30 + -5k = 7(k + 6) Reorder the terms: 30 + -5k = 7(6 + k) 30 + -5k = (6 * 7 + k * 7) 30 + -5k = (42 + 7k) Solving 30 + -5k = 42 + 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 + -5k + -7k = 42 + 7k + -7k Combine like terms: -5k + -7k = -12k 30 + -12k = 42 + 7k + -7k Combine like terms: 7k + -7k = 0 30 + -12k = 42 + 0 30 + -12k = 42 Add '-30' to each side of the equation. 30 + -30 + -12k = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -12k = 42 + -30 -12k = 42 + -30 Combine like terms: 42 + -30 = 12 -12k = 12 Divide each side by '-12'. k = -1 Simplifying k = -1
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