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Simplifying 32 + -7k = 5k + -7(4 + 2k) 32 + -7k = 5k + (4 * -7 + 2k * -7) 32 + -7k = 5k + (-28 + -14k) Reorder the terms: 32 + -7k = -28 + 5k + -14k Combine like terms: 5k + -14k = -9k 32 + -7k = -28 + -9k Solving 32 + -7k = -28 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 32 + -7k + 9k = -28 + -9k + 9k Combine like terms: -7k + 9k = 2k 32 + 2k = -28 + -9k + 9k Combine like terms: -9k + 9k = 0 32 + 2k = -28 + 0 32 + 2k = -28 Add '-32' to each side of the equation. 32 + -32 + 2k = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 2k = -28 + -32 2k = -28 + -32 Combine like terms: -28 + -32 = -60 2k = -60 Divide each side by '2'. k = -30 Simplifying k = -30
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