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Simplifying 0 = 3x(m + n + y + -1z) 0 = (m * 3x + n * 3x + y * 3x + -1z * 3x) 0 = (3mx + 3nx + 3xy + -3xz) Solving 0 = 3mx + 3nx + 3xy + -3xz Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3mx' to each side of the equation. 0 + -3mx = 3mx + 3nx + 3xy + -3mx + -3xz Remove the zero: -3mx = 3mx + 3nx + 3xy + -3mx + -3xz Reorder the terms: -3mx = 3mx + -3mx + 3nx + 3xy + -3xz Combine like terms: 3mx + -3mx = 0 -3mx = 0 + 3nx + 3xy + -3xz -3mx = 3nx + 3xy + -3xz Divide each side by '-3x'. m = -1n + -1y + z Simplifying m = -1n + -1y + z
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