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Simplifying 25 + 9k + -30 = 6k + -20 Reorder the terms: 25 + -30 + 9k = 6k + -20 Combine like terms: 25 + -30 = -5 -5 + 9k = 6k + -20 Reorder the terms: -5 + 9k = -20 + 6k Solving -5 + 9k = -20 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -5 + 9k + -6k = -20 + 6k + -6k Combine like terms: 9k + -6k = 3k -5 + 3k = -20 + 6k + -6k Combine like terms: 6k + -6k = 0 -5 + 3k = -20 + 0 -5 + 3k = -20 Add '5' to each side of the equation. -5 + 5 + 3k = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = -20 + 5 3k = -20 + 5 Combine like terms: -20 + 5 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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