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Simplifying 4m + 3n + -2m + 12 = 0 Reorder the terms: 12 + 4m + -2m + 3n = 0 Combine like terms: 4m + -2m = 2m 12 + 2m + 3n = 0 Solving 12 + 2m + 3n = 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 + 2m + -12 + 3n = 0 + -12 Reorder the terms: 12 + -12 + 2m + 3n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2m + 3n = 0 + -12 2m + 3n = 0 + -12 Combine like terms: 0 + -12 = -12 2m + 3n = -12 Add '-3n' to each side of the equation. 2m + 3n + -3n = -12 + -3n Combine like terms: 3n + -3n = 0 2m + 0 = -12 + -3n 2m = -12 + -3n Divide each side by '2'. m = -6 + -1.5n Simplifying m = -6 + -1.5n
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