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Simplifying 7(3m + 5k) + -14m + 12 = 0 Reorder the terms: 7(5k + 3m) + -14m + 12 = 0 (5k * 7 + 3m * 7) + -14m + 12 = 0 (35k + 21m) + -14m + 12 = 0 Reorder the terms: 12 + 35k + 21m + -14m = 0 Combine like terms: 21m + -14m = 7m 12 + 35k + 7m = 0 Solving 12 + 35k + 7m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 35k + -12 + 7m = 0 + -12 Reorder the terms: 12 + -12 + 35k + 7m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 35k + 7m = 0 + -12 35k + 7m = 0 + -12 Combine like terms: 0 + -12 = -12 35k + 7m = -12 Add '-7m' to each side of the equation. 35k + 7m + -7m = -12 + -7m Combine like terms: 7m + -7m = 0 35k + 0 = -12 + -7m 35k = -12 + -7m Divide each side by '35'. k = -0.3428571429 + -0.2m Simplifying k = -0.3428571429 + -0.2m
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