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Simplifying 7k + 32 = 4(3k + 8) + k Reorder the terms: 32 + 7k = 4(3k + 8) + k Reorder the terms: 32 + 7k = 4(8 + 3k) + k 32 + 7k = (8 * 4 + 3k * 4) + k 32 + 7k = (32 + 12k) + k Combine like terms: 12k + k = 13k 32 + 7k = 32 + 13k Add '-32' to each side of the equation. 32 + -32 + 7k = 32 + -32 + 13k Combine like terms: 32 + -32 = 0 0 + 7k = 32 + -32 + 13k 7k = 32 + -32 + 13k Combine like terms: 32 + -32 = 0 7k = 0 + 13k 7k = 13k Solving 7k = 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 7k + -13k = 13k + -13k Combine like terms: 7k + -13k = -6k -6k = 13k + -13k Combine like terms: 13k + -13k = 0 -6k = 0 Divide each side by '-6'. k = 0 Simplifying k = 0
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