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Simplifying 3m + 14 + -2m + 2k = 0 Reorder the terms: 14 + 2k + 3m + -2m = 0 Combine like terms: 3m + -2m = 1m 14 + 2k + 1m = 0 Solving 14 + 2k + 1m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2k + -14 + 1m = 0 + -14 Reorder the terms: 14 + -14 + 2k + 1m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2k + 1m = 0 + -14 2k + 1m = 0 + -14 Combine like terms: 0 + -14 = -14 2k + 1m = -14 Add '-1m' to each side of the equation. 2k + 1m + -1m = -14 + -1m Combine like terms: 1m + -1m = 0 2k + 0 = -14 + -1m 2k = -14 + -1m Divide each side by '2'. k = -7 + -0.5m Simplifying k = -7 + -0.5m
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