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Simplifying 5k + -14 = 2k + -2 Reorder the terms: -14 + 5k = 2k + -2 Reorder the terms: -14 + 5k = -2 + 2k Solving -14 + 5k = -2 + 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. -14 + 5k + -2k = -2 + 2k + -2k Combine like terms: 5k + -2k = 3k -14 + 3k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 -14 + 3k = -2 + 0 -14 + 3k = -2 Add '14' to each side of the equation. -14 + 14 + 3k = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3k = -2 + 14 3k = -2 + 14 Combine like terms: -2 + 14 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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