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Simplifying (1x) + (3y) + (1z) + (2m) = 3 Reorder the terms: (2m) + (1x) + (3y) + (1z) = 3 Solving (2m) + (1x) + (3y) + (1z) = 3 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '(-1x)' to each side of the equation. (2m) + (1x) + (3y) + (-1x) + (1z) = 3 + (-1x) Reorder the terms: (2m) + (1x) + (-1x) + (3y) + (1z) = 3 + (-1x) Combine like terms: (1x) + (-1x) = 0 (2m) + 0 + (3y) + (1z) = 3 + (-1x) (2m) + (3y) + (1z) = 3 + (-1x) Add '(-3y)' to each side of the equation. (2m) + (3y) + (-3y) + (1z) = 3 + (-1x) + (-3y) Combine like terms: (3y) + (-3y) = 0 (2m) + 0 + (1z) = 3 + (-1x) + (-3y) (2m) + (1z) = 3 + (-1x) + (-3y) Add '(-1z)' to each side of the equation. (2m) + (1z) + (-1z) = 3 + (-1x) + (-3y) + (-1z) Combine like terms: (1z) + (-1z) = 0 (2m) + 0 = 3 + (-1x) + (-3y) + (-1z) (2m) = 3 + (-1x) + (-3y) + (-1z) Divide each side by '2'. m = 1.5 + (-0.5x) + (-1.5y) + (-0.5z) Simplifying m = 1.5 + (-0.5x) + (-1.5y) + (-0.5z)
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