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Simplifying -52 = 3k + -1 Reorder the terms: -52 = -1 + 3k Solving -52 = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -52 + -3k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 -52 + -3k = -1 + 0 -52 + -3k = -1 Add '52' to each side of the equation. -52 + 52 + -3k = -1 + 52 Combine like terms: -52 + 52 = 0 0 + -3k = -1 + 52 -3k = -1 + 52 Combine like terms: -1 + 52 = 51 -3k = 51 Divide each side by '-3'. k = -17 Simplifying k = -17
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