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Simplifying 3xy(z + -5) + 4m(5 + -1z) = 0 Reorder the terms: 3xy(-5 + z) + 4m(5 + -1z) = 0 (-5 * 3xy + z * 3xy) + 4m(5 + -1z) = 0 (-15xy + 3xyz) + 4m(5 + -1z) = 0 -15xy + 3xyz + (5 * 4m + -1z * 4m) = 0 -15xy + 3xyz + (20m + -4mz) = 0 Reorder the terms: 20m + -4mz + -15xy + 3xyz = 0 Solving 20m + -4mz + -15xy + 3xyz = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15xy' to each side of the equation. 20m + -4mz + -15xy + 15xy + 3xyz = 0 + 15xy Combine like terms: -15xy + 15xy = 0 20m + -4mz + 0 + 3xyz = 0 + 15xy 20m + -4mz + 3xyz = 0 + 15xy Remove the zero: 20m + -4mz + 3xyz = 15xy Add '-3xyz' to each side of the equation. 20m + -4mz + 3xyz + -3xyz = 15xy + -3xyz Combine like terms: 3xyz + -3xyz = 0 20m + -4mz + 0 = 15xy + -3xyz 20m + -4mz = 15xy + -3xyz Reorder the terms: 20m + -4mz + -15xy + 3xyz = 15xy + -15xy + -3xyz + 3xyz Combine like terms: 15xy + -15xy = 0 20m + -4mz + -15xy + 3xyz = 0 + -3xyz + 3xyz 20m + -4mz + -15xy + 3xyz = -3xyz + 3xyz Combine like terms: -3xyz + 3xyz = 0 20m + -4mz + -15xy + 3xyz = 0 The solution to this equation could not be determined.
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