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Simplifying 3k + 14 = 5k + -16 Reorder the terms: 14 + 3k = 5k + -16 Reorder the terms: 14 + 3k = -16 + 5k Solving 14 + 3k = -16 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 14 + 3k + -5k = -16 + 5k + -5k Combine like terms: 3k + -5k = -2k 14 + -2k = -16 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + -2k = -16 + 0 14 + -2k = -16 Add '-14' to each side of the equation. 14 + -14 + -2k = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2k = -16 + -14 -2k = -16 + -14 Combine like terms: -16 + -14 = -30 -2k = -30 Divide each side by '-2'. k = 15 Simplifying k = 15
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