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Simplifying Z(y + -2) + 7 = 3z(x + y) Reorder the terms: Z(-2 + y) + 7 = 3z(x + y) (-2 * Z + y * Z) + 7 = 3z(x + y) (-2Z + yZ) + 7 = 3z(x + y) Reorder the terms: 7 + -2Z + yZ = 3z(x + y) 7 + -2Z + yZ = (x * 3z + y * 3z) 7 + -2Z + yZ = (3xz + 3yz) Solving 7 + -2Z + yZ = 3xz + 3yz Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2Z + -7 + yZ = 3xz + -7 + 3yz Reorder the terms: 7 + -7 + -2Z + yZ = 3xz + -7 + 3yz Combine like terms: 7 + -7 = 0 0 + -2Z + yZ = 3xz + -7 + 3yz -2Z + yZ = 3xz + -7 + 3yz Reorder the terms: -2Z + yZ = -7 + 3xz + 3yz Reorder the terms: 7 + -2Z + -3xz + yZ + -3yz = -7 + 3xz + 3yz + 7 + -3xz + -3yz Reorder the terms: 7 + -2Z + -3xz + yZ + -3yz = -7 + 7 + 3xz + -3xz + 3yz + -3yz Combine like terms: -7 + 7 = 0 7 + -2Z + -3xz + yZ + -3yz = 0 + 3xz + -3xz + 3yz + -3yz 7 + -2Z + -3xz + yZ + -3yz = 3xz + -3xz + 3yz + -3yz Combine like terms: 3xz + -3xz = 0 7 + -2Z + -3xz + yZ + -3yz = 0 + 3yz + -3yz 7 + -2Z + -3xz + yZ + -3yz = 3yz + -3yz Combine like terms: 3yz + -3yz = 0 7 + -2Z + -3xz + yZ + -3yz = 0 The solution to this equation could not be determined.
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