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Simplifying 4k + -2k + 10 = 7k + 8 + -43 Reorder the terms: 10 + 4k + -2k = 7k + 8 + -43 Combine like terms: 4k + -2k = 2k 10 + 2k = 7k + 8 + -43 Reorder the terms: 10 + 2k = 8 + -43 + 7k Combine like terms: 8 + -43 = -35 10 + 2k = -35 + 7k Solving 10 + 2k = -35 + 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. 10 + 2k + -7k = -35 + 7k + -7k Combine like terms: 2k + -7k = -5k 10 + -5k = -35 + 7k + -7k Combine like terms: 7k + -7k = 0 10 + -5k = -35 + 0 10 + -5k = -35 Add '-10' to each side of the equation. 10 + -10 + -5k = -35 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -35 + -10 -5k = -35 + -10 Combine like terms: -35 + -10 = -45 -5k = -45 Divide each side by '-5'. k = 9 Simplifying k = 9
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