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Simplifying 7 = 5k + -5 + 7k Reorder the terms: 7 = -5 + 5k + 7k Combine like terms: 5k + 7k = 12k 7 = -5 + 12k Solving 7 = -5 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 7 + -12k = -5 + 12k + -12k Combine like terms: 12k + -12k = 0 7 + -12k = -5 + 0 7 + -12k = -5 Add '-7' to each side of the equation. 7 + -7 + -12k = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -12k = -5 + -7 -12k = -5 + -7 Combine like terms: -5 + -7 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1
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