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Simplifying 3k + 13 = 9k + -8 Reorder the terms: 13 + 3k = 9k + -8 Reorder the terms: 13 + 3k = -8 + 9k Solving 13 + 3k = -8 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 13 + 3k + -9k = -8 + 9k + -9k Combine like terms: 3k + -9k = -6k 13 + -6k = -8 + 9k + -9k Combine like terms: 9k + -9k = 0 13 + -6k = -8 + 0 13 + -6k = -8 Add '-13' to each side of the equation. 13 + -13 + -6k = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -6k = -8 + -13 -6k = -8 + -13 Combine like terms: -8 + -13 = -21 -6k = -21 Divide each side by '-6'. k = 3.5 Simplifying k = 3.5
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