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Simplifying 12k + -15 = 48 + 3k Reorder the terms: -15 + 12k = 48 + 3k Solving -15 + 12k = 48 + 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. -15 + 12k + -3k = 48 + 3k + -3k Combine like terms: 12k + -3k = 9k -15 + 9k = 48 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + 9k = 48 + 0 -15 + 9k = 48 Add '15' to each side of the equation. -15 + 15 + 9k = 48 + 15 Combine like terms: -15 + 15 = 0 0 + 9k = 48 + 15 9k = 48 + 15 Combine like terms: 48 + 15 = 63 9k = 63 Divide each side by '9'. k = 7 Simplifying k = 7
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