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Simplifying 7k + 13 = -5k + -35 Reorder the terms: 13 + 7k = -5k + -35 Reorder the terms: 13 + 7k = -35 + -5k Solving 13 + 7k = -35 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 13 + 7k + 5k = -35 + -5k + 5k Combine like terms: 7k + 5k = 12k 13 + 12k = -35 + -5k + 5k Combine like terms: -5k + 5k = 0 13 + 12k = -35 + 0 13 + 12k = -35 Add '-13' to each side of the equation. 13 + -13 + 12k = -35 + -13 Combine like terms: 13 + -13 = 0 0 + 12k = -35 + -13 12k = -35 + -13 Combine like terms: -35 + -13 = -48 12k = -48 Divide each side by '12'. k = -4 Simplifying k = -4
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