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Simplifying 5k(3m + 4) + 12m(3 + 2k) = 0 Reorder the terms: 5k(4 + 3m) + 12m(3 + 2k) = 0 (4 * 5k + 3m * 5k) + 12m(3 + 2k) = 0 (20k + 15km) + 12m(3 + 2k) = 0 20k + 15km + (3 * 12m + 2k * 12m) = 0 Reorder the terms: 20k + 15km + (24km + 36m) = 0 20k + 15km + (24km + 36m) = 0 Combine like terms: 15km + 24km = 39km 20k + 39km + 36m = 0 Solving 20k + 39km + 36m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36m' to each side of the equation. 20k + 39km + 36m + -36m = 0 + -36m Combine like terms: 36m + -36m = 0 20k + 39km + 0 = 0 + -36m 20k + 39km = 0 + -36m Remove the zero: 20k + 39km = -36m Combine like terms: -36m + 36m = 0 20k + 39km + 36m = 0 The solution to this equation could not be determined.
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