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Simplifying 12k + -13 = -1k + 52 Reorder the terms: -13 + 12k = -1k + 52 Reorder the terms: -13 + 12k = 52 + -1k Solving -13 + 12k = 52 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -13 + 12k + k = 52 + -1k + k Combine like terms: 12k + k = 13k -13 + 13k = 52 + -1k + k Combine like terms: -1k + k = 0 -13 + 13k = 52 + 0 -13 + 13k = 52 Add '13' to each side of the equation. -13 + 13 + 13k = 52 + 13 Combine like terms: -13 + 13 = 0 0 + 13k = 52 + 13 13k = 52 + 13 Combine like terms: 52 + 13 = 65 13k = 65 Divide each side by '13'. k = 5 Simplifying k = 5
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