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Simplifying (y + 2m)(4x + 3z) = 20 Reorder the terms: (2m + y)(4x + 3z) = 20 Multiply (2m + y) * (4x + 3z) (2m * (4x + 3z) + y(4x + 3z)) = 20 ((4x * 2m + 3z * 2m) + y(4x + 3z)) = 20 ((8mx + 6mz) + y(4x + 3z)) = 20 (8mx + 6mz + (4x * y + 3z * y)) = 20 (8mx + 6mz + (4xy + 3yz)) = 20 (8mx + 6mz + 4xy + 3yz) = 20 Solving 8mx + 6mz + 4xy + 3yz = 20 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4xy' to each side of the equation. 8mx + 6mz + 4xy + -4xy + 3yz = 20 + -4xy Combine like terms: 4xy + -4xy = 0 8mx + 6mz + 0 + 3yz = 20 + -4xy 8mx + 6mz + 3yz = 20 + -4xy Add '-3yz' to each side of the equation. 8mx + 6mz + 3yz + -3yz = 20 + -4xy + -3yz Combine like terms: 3yz + -3yz = 0 8mx + 6mz + 0 = 20 + -4xy + -3yz 8mx + 6mz = 20 + -4xy + -3yz Reorder the terms: -20 + 8mx + 6mz + 4xy + 3yz = 20 + -4xy + -3yz + -20 + 4xy + 3yz Reorder the terms: -20 + 8mx + 6mz + 4xy + 3yz = 20 + -20 + -4xy + 4xy + -3yz + 3yz Combine like terms: 20 + -20 = 0 -20 + 8mx + 6mz + 4xy + 3yz = 0 + -4xy + 4xy + -3yz + 3yz -20 + 8mx + 6mz + 4xy + 3yz = -4xy + 4xy + -3yz + 3yz Combine like terms: -4xy + 4xy = 0 -20 + 8mx + 6mz + 4xy + 3yz = 0 + -3yz + 3yz -20 + 8mx + 6mz + 4xy + 3yz = -3yz + 3yz Combine like terms: -3yz + 3yz = 0 -20 + 8mx + 6mz + 4xy + 3yz = 0 The solution to this equation could not be determined.
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