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Simplifying 12k + -5 = 13k + -8 Reorder the terms: -5 + 12k = 13k + -8 Reorder the terms: -5 + 12k = -8 + 13k Solving -5 + 12k = -8 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. -5 + 12k + -13k = -8 + 13k + -13k Combine like terms: 12k + -13k = -1k -5 + -1k = -8 + 13k + -13k Combine like terms: 13k + -13k = 0 -5 + -1k = -8 + 0 -5 + -1k = -8 Add '5' to each side of the equation. -5 + 5 + -1k = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = -8 + 5 -1k = -8 + 5 Combine like terms: -8 + 5 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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