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Simplifying 5(k + 4) + -2 = 7k + 21 Reorder the terms: 5(4 + k) + -2 = 7k + 21 (4 * 5 + k * 5) + -2 = 7k + 21 (20 + 5k) + -2 = 7k + 21 Reorder the terms: 20 + -2 + 5k = 7k + 21 Combine like terms: 20 + -2 = 18 18 + 5k = 7k + 21 Reorder the terms: 18 + 5k = 21 + 7k Solving 18 + 5k = 21 + 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. 18 + 5k + -7k = 21 + 7k + -7k Combine like terms: 5k + -7k = -2k 18 + -2k = 21 + 7k + -7k Combine like terms: 7k + -7k = 0 18 + -2k = 21 + 0 18 + -2k = 21 Add '-18' to each side of the equation. 18 + -18 + -2k = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = 21 + -18 -2k = 21 + -18 Combine like terms: 21 + -18 = 3 -2k = 3 Divide each side by '-2'. k = -1.5 Simplifying k = -1.5
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