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Simplifying 7k + -3 + 2 + -16 = 5k + -7 Reorder the terms: -3 + 2 + -16 + 7k = 5k + -7 Combine like terms: -3 + 2 = -1 -1 + -16 + 7k = 5k + -7 Combine like terms: -1 + -16 = -17 -17 + 7k = 5k + -7 Reorder the terms: -17 + 7k = -7 + 5k Solving -17 + 7k = -7 + 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. -17 + 7k + -5k = -7 + 5k + -5k Combine like terms: 7k + -5k = 2k -17 + 2k = -7 + 5k + -5k Combine like terms: 5k + -5k = 0 -17 + 2k = -7 + 0 -17 + 2k = -7 Add '17' to each side of the equation. -17 + 17 + 2k = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 2k = -7 + 17 2k = -7 + 17 Combine like terms: -7 + 17 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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