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Simplifying -32 + 7k = (6k + 3) + -1 Reorder the terms: -32 + 7k = (3 + 6k) + -1 Remove parenthesis around (3 + 6k) -32 + 7k = 3 + 6k + -1 Reorder the terms: -32 + 7k = 3 + -1 + 6k Combine like terms: 3 + -1 = 2 -32 + 7k = 2 + 6k Solving -32 + 7k = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -32 + 7k + -6k = 2 + 6k + -6k Combine like terms: 7k + -6k = 1k -32 + 1k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 -32 + 1k = 2 + 0 -32 + 1k = 2 Add '32' to each side of the equation. -32 + 32 + 1k = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 1k = 2 + 32 1k = 2 + 32 Combine like terms: 2 + 32 = 34 1k = 34 Divide each side by '1'. k = 34 Simplifying k = 34
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