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Simplifying 9k + -4 = 3k + 38 Reorder the terms: -4 + 9k = 3k + 38 Reorder the terms: -4 + 9k = 38 + 3k Solving -4 + 9k = 38 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -4 + 9k + -3k = 38 + 3k + -3k Combine like terms: 9k + -3k = 6k -4 + 6k = 38 + 3k + -3k Combine like terms: 3k + -3k = 0 -4 + 6k = 38 + 0 -4 + 6k = 38 Add '4' to each side of the equation. -4 + 4 + 6k = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = 38 + 4 6k = 38 + 4 Combine like terms: 38 + 4 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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