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Simplifying 5k + 2 = 2k + -7 Reorder the terms: 2 + 5k = 2k + -7 Reorder the terms: 2 + 5k = -7 + 2k Solving 2 + 5k = -7 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 2 + 5k + -2k = -7 + 2k + -2k Combine like terms: 5k + -2k = 3k 2 + 3k = -7 + 2k + -2k Combine like terms: 2k + -2k = 0 2 + 3k = -7 + 0 2 + 3k = -7 Add '-2' to each side of the equation. 2 + -2 + 3k = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = -7 + -2 3k = -7 + -2 Combine like terms: -7 + -2 = -9 3k = -9 Divide each side by '3'. k = -3 Simplifying k = -3
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