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Simplifying 7k + -4 = 5(k + 3) + 1 Reorder the terms: -4 + 7k = 5(k + 3) + 1 Reorder the terms: -4 + 7k = 5(3 + k) + 1 -4 + 7k = (3 * 5 + k * 5) + 1 -4 + 7k = (15 + 5k) + 1 Reorder the terms: -4 + 7k = 15 + 1 + 5k Combine like terms: 15 + 1 = 16 -4 + 7k = 16 + 5k Solving -4 + 7k = 16 + 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. -4 + 7k + -5k = 16 + 5k + -5k Combine like terms: 7k + -5k = 2k -4 + 2k = 16 + 5k + -5k Combine like terms: 5k + -5k = 0 -4 + 2k = 16 + 0 -4 + 2k = 16 Add '4' to each side of the equation. -4 + 4 + 2k = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 2k = 16 + 4 2k = 16 + 4 Combine like terms: 16 + 4 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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