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Simplifying 7k + -2k + 28 = 10k + 3 Reorder the terms: 28 + 7k + -2k = 10k + 3 Combine like terms: 7k + -2k = 5k 28 + 5k = 10k + 3 Reorder the terms: 28 + 5k = 3 + 10k Solving 28 + 5k = 3 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 28 + 5k + -10k = 3 + 10k + -10k Combine like terms: 5k + -10k = -5k 28 + -5k = 3 + 10k + -10k Combine like terms: 10k + -10k = 0 28 + -5k = 3 + 0 28 + -5k = 3 Add '-28' to each side of the equation. 28 + -28 + -5k = 3 + -28 Combine like terms: 28 + -28 = 0 0 + -5k = 3 + -28 -5k = 3 + -28 Combine like terms: 3 + -28 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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