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Simplifying 6k + -3 = 3k + 12 Reorder the terms: -3 + 6k = 3k + 12 Reorder the terms: -3 + 6k = 12 + 3k Solving -3 + 6k = 12 + 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. -3 + 6k + -3k = 12 + 3k + -3k Combine like terms: 6k + -3k = 3k -3 + 3k = 12 + 3k + -3k Combine like terms: 3k + -3k = 0 -3 + 3k = 12 + 0 -3 + 3k = 12 Add '3' to each side of the equation. -3 + 3 + 3k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3k = 12 + 3 3k = 12 + 3 Combine like terms: 12 + 3 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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