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Simplifying -32 + 7k = 5(6k + 3) + -1 Reorder the terms: -32 + 7k = 5(3 + 6k) + -1 -32 + 7k = (3 * 5 + 6k * 5) + -1 -32 + 7k = (15 + 30k) + -1 Reorder the terms: -32 + 7k = 15 + -1 + 30k Combine like terms: 15 + -1 = 14 -32 + 7k = 14 + 30k Solving -32 + 7k = 14 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -32 + 7k + -30k = 14 + 30k + -30k Combine like terms: 7k + -30k = -23k -32 + -23k = 14 + 30k + -30k Combine like terms: 30k + -30k = 0 -32 + -23k = 14 + 0 -32 + -23k = 14 Add '32' to each side of the equation. -32 + 32 + -23k = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -23k = 14 + 32 -23k = 14 + 32 Combine like terms: 14 + 32 = 46 -23k = 46 Divide each side by '-23'. k = -2 Simplifying k = -2
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