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Simplifying 3k + -12 + 4 = k + 1 Reorder the terms: -12 + 4 + 3k = k + 1 Combine like terms: -12 + 4 = -8 -8 + 3k = k + 1 Reorder the terms: -8 + 3k = 1 + k Solving -8 + 3k = 1 + k 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. -8 + 3k + -1k = 1 + k + -1k Combine like terms: 3k + -1k = 2k -8 + 2k = 1 + k + -1k Combine like terms: k + -1k = 0 -8 + 2k = 1 + 0 -8 + 2k = 1 Add '8' to each side of the equation. -8 + 8 + 2k = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 2k = 1 + 8 2k = 1 + 8 Combine like terms: 1 + 8 = 9 2k = 9 Divide each side by '2'. k = 4.5 Simplifying k = 4.5
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