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Simplifying k + 4 + 1 = 3k + 7 Reorder the terms: 4 + 1 + k = 3k + 7 Combine like terms: 4 + 1 = 5 5 + k = 3k + 7 Reorder the terms: 5 + k = 7 + 3k Solving 5 + k = 7 + 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. 5 + k + -3k = 7 + 3k + -3k Combine like terms: k + -3k = -2k 5 + -2k = 7 + 3k + -3k Combine like terms: 3k + -3k = 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 = 2 -2k = 2 Divide each side by '-2'. k = -1 Simplifying k = -1
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