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Simplifying 5k + 2 = 13k Reorder the terms: 2 + 5k = 13k Solving 2 + 5k = 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. 2 + 5k + -13k = 13k + -13k Combine like terms: 5k + -13k = -8k 2 + -8k = 13k + -13k Combine like terms: 13k + -13k = 0 2 + -8k = 0 Add '-2' to each side of the equation. 2 + -2 + -8k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8k = 0 + -2 -8k = 0 + -2 Combine like terms: 0 + -2 = -2 -8k = -2 Divide each side by '-8'. k = 0.25 Simplifying k = 0.25
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