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Simplifying 3k + 5 = -7 + k Reorder the terms: 5 + 3k = -7 + k Solving 5 + 3k = -7 + 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. 5 + 3k + -1k = -7 + k + -1k Combine like terms: 3k + -1k = 2k 5 + 2k = -7 + k + -1k Combine like terms: k + -1k = 0 5 + 2k = -7 + 0 5 + 2k = -7 Add '-5' to each side of the equation. 5 + -5 + 2k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = -7 + -5 2k = -7 + -5 Combine like terms: -7 + -5 = -12 2k = -12 Divide each side by '2'. k = -6 Simplifying k = -6
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