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Simplifying (3k + 4) = (6k + -32) Reorder the terms: (4 + 3k) = (6k + -32) Remove parenthesis around (4 + 3k) 4 + 3k = (6k + -32) Reorder the terms: 4 + 3k = (-32 + 6k) Remove parenthesis around (-32 + 6k) 4 + 3k = -32 + 6k Solving 4 + 3k = -32 + 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. 4 + 3k + -6k = -32 + 6k + -6k Combine like terms: 3k + -6k = -3k 4 + -3k = -32 + 6k + -6k Combine like terms: 6k + -6k = 0 4 + -3k = -32 + 0 4 + -3k = -32 Add '-4' to each side of the equation. 4 + -4 + -3k = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = -32 + -4 -3k = -32 + -4 Combine like terms: -32 + -4 = -36 -3k = -36 Divide each side by '-3'. k = 12 Simplifying k = 12
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