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Simplifying 3k + -12 = 4k + -3k + 1 Reorder the terms: -12 + 3k = 4k + -3k + 1 Reorder the terms: -12 + 3k = 1 + 4k + -3k Combine like terms: 4k + -3k = 1k -12 + 3k = 1 + 1k Solving -12 + 3k = 1 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -12 + 3k + -1k = 1 + 1k + -1k Combine like terms: 3k + -1k = 2k -12 + 2k = 1 + 1k + -1k Combine like terms: 1k + -1k = 0 -12 + 2k = 1 + 0 -12 + 2k = 1 Add '12' to each side of the equation. -12 + 12 + 2k = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = 1 + 12 2k = 1 + 12 Combine like terms: 1 + 12 = 13 2k = 13 Divide each side by '2'. k = 6.5 Simplifying k = 6.5
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