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Simplifying 45n + 16m + -12 + 5n + -2m = 0 Reorder the terms: -12 + 16m + -2m + 45n + 5n = 0 Combine like terms: 16m + -2m = 14m -12 + 14m + 45n + 5n = 0 Combine like terms: 45n + 5n = 50n -12 + 14m + 50n = 0 Solving -12 + 14m + 50n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 14m + 12 + 50n = 0 + 12 Reorder the terms: -12 + 12 + 14m + 50n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 14m + 50n = 0 + 12 14m + 50n = 0 + 12 Combine like terms: 0 + 12 = 12 14m + 50n = 12 Add '-50n' to each side of the equation. 14m + 50n + -50n = 12 + -50n Combine like terms: 50n + -50n = 0 14m + 0 = 12 + -50n 14m = 12 + -50n Divide each side by '14'. m = 0.8571428571 + -3.571428571n Simplifying m = 0.8571428571 + -3.571428571n
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